3796704000 has 216 divisors, whose sum is σ = 13662684672. Its totient is φ = 1012377600.

The previous prime is 3796703923. The next prime is 3796704007. The reversal of 3796704000 is 4076973.

It is a super-2 number, since 2×3796704000² = 28829922527232000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3796704007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281409 + ... + 294591.

Almost surely, 2^3796704000 is an apocalyptic number.

3796704000 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 3796704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6831342336).

3796704000 is an abundant number, since it is smaller than the sum of its proper divisors (9865980672).

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

3796704000 is a wasteful number, since it uses less digits than its factorization.

3796704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13220 (or 13193 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 3796704000 is about 61617.4001398955. The cubic root of 3796704000 is about 1560.0394467343.

The spelling of 3796704000 in words is "three billion, seven hundred ninety-six million, seven hundred four thousand".