3930861369600 has 729 divisors, whose sum is σ = 15468070180017. Its totient is φ = 951667200000.

The previous prime is 3930861369577. The next prime is 3930861369619. The reversal of 3930861369600 is 69631680393.

It is a happy number.

The square root of 3930861369600 is 1982640.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1415110093056 + 2515751276544 = 1189584^2 + 1586112^2 .

It is a super-2 number, since 2×3930861369600² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5234169225 + ... + 5234169975.

Almost surely, 2^{3930861369600} is an apocalyptic number.

3930861369600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3930861369600 is the 1982640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3930861369600

3930861369600 is an abundant number, since it is smaller than the sum of its proper divisors (11537208810417).

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

3930861369600 is an equidigital number, since it uses as much as digits as its factorization.

3930861369600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 3930861369600 in words is "three trillion, nine hundred thirty billion, eight hundred sixty-one million, three hundred sixty-nine thousand, six hundred".