3978057600 has 576 divisors, whose sum is σ = 16056003600. Its totient is φ = 928972800.

The previous prime is 3978057593. The next prime is 3978057617. The reversal of 3978057600 is 67508793.

It is a happy number.

3978057600 is a `hidden beast` number, since 3 + 9 + 78 + 0 + 576 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9186984 + ... + 9187416.

Almost surely, 2^3978057600 is an apocalyptic number.

3978057600 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 3978057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8028001800).

3978057600 is an abundant number, since it is smaller than the sum of its proper divisors (12077946000).

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

3978057600 is a wasteful number, since it uses less digits than its factorization.

3978057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 3978057600 is about 63071.8447486674. The cubic root of 3978057600 is about 1584.4931124673.

The spelling of 3978057600 in words is "three billion, nine hundred seventy-eight million, fifty-seven thousand, six hundred".