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3801616038 = 233117981013
BaseRepresentation
bin1110001010011000…
…0000111010100110
3100210221102002211000
43202212000322212
530241203203123
61425121454130
7163131126453
oct34246007246
910727362730
103801616038
111680a05440
128a11a1346
134877b1b5c
14280c7282a
15173b39b43
hexe2980ea6

3801616038 has 64 divisors (see below), whose sum is σ = 9332812800. Its totient is φ = 1137408480.

The previous prime is 3801616037. The next prime is 3801616051. The reversal of 3801616038 is 8306161083.

3801616038 is a `hidden beast` number, since 3 + 8 + 0 + 1 + 616 + 0 + 38 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3801615993 and 3801616011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3801616037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6420 + ... + 87432.

It is an arithmetic number, because the mean of its divisors is an integer number (145825200).

Almost surely, 23801616038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3801616038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666406400).

3801616038 is an abundant number, since it is smaller than the sum of its proper divisors (5531196762).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3801616038 is a wasteful number, since it uses less digits than its factorization.

3801616038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81114 (or 81108 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3801616038 is about 61657.2464354353. The cubic root of 3801616038 is about 1560.7119309666.

The spelling of 3801616038 in words is "three billion, eight hundred one million, six hundred sixteen thousand, thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 79 99 158 198 237 297 474 594 711 869 1422 1738 2133 2607 4266 5214 7821 15642 23463 46926 81013 162026 243039 486078 729117 891143 1458234 1782286 2187351 2673429 4374702 5346858 6400027 8020287 12800054 16040574 19200081 24060861 38400162 48121722 57600243 70400297 115200486 140800594 172800729 211200891 345601458 422401782 633602673 1267205346 1900808019 3801616038