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3745018368 = 29337132229
BaseRepresentation
bin1101111100111000…
…0111001000000000
3100122222220122102000
43133032013020000
530132211041433
61415340424000
7161543062620
oct33716071000
910588818360
103745018368
111651a68803
12886248000
13478b56700
1427753c880
1516dbaa113
hexdf387200

3745018368 has 480 divisors, whose sum is σ = 13778582400. Its totient is φ = 983384064.

The previous prime is 3745018363. The next prime is 3745018379. The reversal of 3745018368 is 8638105473.

3745018368 is a `hidden beast` number, since 3 + 7 + 4 + 501 + 83 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3745018363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16353678 + ... + 16353906.

It is an arithmetic number, because the mean of its divisors is an integer number (28705380).

Almost surely, 23745018368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3745018368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6889291200).

3745018368 is an abundant number, since it is smaller than the sum of its proper divisors (10033564032).

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

3745018368 is a wasteful number, since it uses less digits than its factorization.

3745018368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 3745018368 is about 61196.5551971678. Note that the first 3 decimals coincide. The cubic root of 3745018368 is about 1552.9279886094.

The spelling of 3745018368 in words is "three billion, seven hundred forty-five million, eighteen thousand, three hundred sixty-eight".