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3673016820 = 22335111075779
BaseRepresentation
bin1101101011101101…
…1100100111110100
3100110222102120212000
43122323130213310
530010243014240
61404245255300
7160010061564
oct33273344764
910428376760
103673016820
11161535a9a0
12866104530
13466c66b45
1426bb58da4
151676d6430
hexdaedc9f4

3673016820 has 192 divisors, whose sum is σ = 12584678400. Its totient is φ = 881953920.

The previous prime is 3673016819. The next prime is 3673016873. The reversal of 3673016820 is 286103763.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 632691 + ... + 638469.

It is an arithmetic number, because the mean of its divisors is an integer number (65545200).

Almost surely, 23673016820 is an apocalyptic number.

3673016820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3673016820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6292339200).

3673016820 is an abundant number, since it is smaller than the sum of its proper divisors (8911661580).

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

3673016820 is a wasteful number, since it uses less digits than its factorization.

3673016820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5915 (or 5907 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3673016820 is about 60605.4190646348. The cubic root of 3673016820 is about 1542.9113448771.

The spelling of 3673016820 in words is "three billion, six hundred seventy-three million, sixteen thousand, eight hundred twenty".