3147856608400 has 1215 divisors, whose sum is σ = 10052324631531. Its totient is φ = 944282465280.

The previous prime is 3147856608397. The next prime is 3147856608493. The reversal of 3147856608400 is 48066587413.

The square root of 3147856608400 is 1774220.

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

It can be written as a sum of positive squares in 4 ways, for example, as 43268992144 + 3104587616256 = 208012^2 + 1761984^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 108546779586 + ... + 108546779614.

Almost surely, 2^{3147856608400} is an apocalyptic number.

3147856608400 is the 1774220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3147856608400

3147856608400 is an abundant number, since it is smaller than the sum of its proper divisors (6904468023131).

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

3147856608400 is a wasteful number, since it uses less digits than its factorization.

3147856608400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 3147856608400 in words is "three trillion, one hundred forty-seven billion, eight hundred fifty-six million, six hundred eight thousand, four hundred".