3970425600 has 756 divisors, whose sum is σ = 15790562256. Its totient is φ = 985374720.

The previous prime is 3970425581. The next prime is 3970425619. The reversal of 3970425600 is 65240793.

3970425600 is a `hidden beast` number, since 3 + 9 + 7 + 0 + 42 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (3970425581) and next prime (3970425619).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 107308782 + ... + 107308818.

Almost surely, 2^3970425600 is an apocalyptic number.

3970425600 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 3970425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7895281128).

3970425600 is an abundant number, since it is smaller than the sum of its proper divisors (11820136656).

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

3970425600 is an equidigital number, since it uses as much as digits as its factorization.

3970425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3970425600 is about 63011.3132699200. The cubic root of 3970425600 is about 1583.4791676077.

The spelling of 3970425600 in words is "three billion, nine hundred seventy million, four hundred twenty-five thousand, six hundred".