3797956400 has 240 divisors, whose sum is σ = 11203015104. Its totient is φ = 1207664640.

The previous prime is 3797956399. The next prime is 3797956411. The reversal of 3797956400 is 46597973.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3474254 + ... + 3475346.

Almost surely, 2^3797956400 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 3797956400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601507552).

3797956400 is an abundant number, since it is smaller than the sum of its proper divisors (7405058704).

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

3797956400 is a wasteful number, since it uses less digits than its factorization.

3797956400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 50.

The square root of 3797956400 is about 61627.5620157085. The cubic root of 3797956400 is about 1560.2109620463.

The spelling of 3797956400 in words is "three billion, seven hundred ninety-seven million, nine hundred fifty-six thousand, four hundred".