3978597600 has 108 divisors (see below), whose sum is σ = 14029555176. Its totient is φ = 1060957440.

The previous prime is 3978597599. The next prime is 3978597631. The reversal of 3978597600 is 67958793.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 269092 + ... + 283491.

Almost surely, 2^3978597600 is an apocalyptic number.

3978597600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3978597600 is an abundant number, since it is smaller than the sum of its proper divisors (10050957576).

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

3978597600 is a wasteful number, since it uses less digits than its factorization.

3978597600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552609 (or 552593 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 3978597600 is about 63076.1254358573. The cubic root of 3978597600 is about 1584.5648047062.

The spelling of 3978597600 in words is "three billion, nine hundred seventy-eight million, five hundred ninety-seven thousand, six hundred".