3978625392 has 320 divisors, whose sum is σ = 13600716800. Its totient is φ = 1103507712.

The previous prime is 3978625373. The next prime is 3978625433. The reversal of 3978625392 is 2935268793.

It is a happy number.

3978625392 is a `hidden beast` number, since 3 + 9 + 7 + 8 + 625 + 3 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 9062709 + ... + 9063147.

It is an arithmetic number, because the mean of its divisors is an integer number (42502240).

Almost surely, 2^3978625392 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 3978625392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6800358400).

3978625392 is an abundant number, since it is smaller than the sum of its proper divisors (9622091408).

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

3978625392 is an equidigital number, since it uses as much as digits as its factorization.

3978625392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 488 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 3978625392 is about 63076.3457406974. The cubic root of 3978625392 is about 1584.5684942913.

The spelling of 3978625392 in words is "three billion, nine hundred seventy-eight million, six hundred twenty-five thousand, three hundred ninety-two".