3680411904 has 504 divisors, whose sum is σ = 12479637912. Its totient is φ = 1074954240.

The previous prime is 3680411843. The next prime is 3680411909. The reversal of 3680411904 is 4091140863.

It can be written as a sum of positive squares in 4 ways, for example, as 74649600 + 3605762304 = 8640^2 + 60048^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680411909) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 89766124 + ... + 89766164.

Almost surely, 2^3680411904 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 3680411904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6239818956).

3680411904 is an abundant number, since it is smaller than the sum of its proper divisors (8799226008).

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

3680411904 is an equidigital number, since it uses as much as digits as its factorization.

3680411904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 96 counting only the distinct ones).

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

The square root of 3680411904 is about 60666.3984755977. The cubic root of 3680411904 is about 1543.9461264279.

The spelling of 3680411904 in words is "three billion, six hundred eighty million, four hundred eleven thousand, nine hundred four".