3676928640 has 1152 divisors, whose sum is σ = 16702459200. Its totient is φ = 681246720.

The previous prime is 3676928627. The next prime is 3676928699. The reversal of 3676928640 is 468296763.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 193522551 + ... + 193522569.

Almost surely, 2^3676928640 is an apocalyptic number.

3676928640 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 3676928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8351229600).

3676928640 is an abundant number, since it is smaller than the sum of its proper divisors (13025530560).

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

3676928640 is a wasteful number, since it uses less digits than its factorization.

3676928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The square root of 3676928640 is about 60637.6833330562. The cubic root of 3676928640 is about 1543.4588920618.

The spelling of 3676928640 in words is "three billion, six hundred seventy-six million, nine hundred twenty-eight thousand, six hundred forty".