3978093600 has 576 divisors, whose sum is σ = 16028974080. Its totient is φ = 945561600.

The previous prime is 3978093599. The next prime is 3978093617. The reversal of 3978093600 is 63908793.

It is a happy number.

3978093600 is a `hidden beast` number, since 39 + 7 + 8 + 0 + 9 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8704572 + ... + 8705028.

It is an arithmetic number, because the mean of its divisors is an integer number (27828080).

Almost surely, 2^3978093600 is an apocalyptic number.

3978093600 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 3978093600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8014487040).

3978093600 is an abundant number, since it is smaller than the sum of its proper divisors (12050880480).

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

3978093600 is a wasteful number, since it uses less digits than its factorization.

3978093600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 3978093600 is about 63072.1301368520. The cubic root of 3978093600 is about 1584.4978921517.

The spelling of 3978093600 in words is "three billion, nine hundred seventy-eight million, ninety-three thousand, six hundred".