30968960400 has 405 divisors, whose sum is σ = 125316246081. Its totient is φ = 7061725440.

The previous prime is 30968960387. The next prime is 30968960437. The reversal of 30968960400 is 406986903.

The square root of 30968960400 is 175980.

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

30968960400 is a `hidden beast` number, since 30 + 9 + 6 + 8 + 9 + 604 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11148825744 + 19820134656 = 105588^2 + 140784^2 .

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

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, 73911391 + ... + 73911809.

Almost surely, 2^30968960400 is an apocalyptic number.

30968960400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30968960400 is the 175980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30968960400

30968960400 is an abundant number, since it is smaller than the sum of its proper divisors (94347285681).

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

30968960400 is a wasteful number, since it uses less digits than its factorization.

30968960400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 30968960400 in words is "thirty billion, nine hundred sixty-eight million, nine hundred sixty thousand, four hundred".