34992193776400 has 1215 divisors, whose sum is σ = 106929418711167. Its totient is φ = 10971447782400.

The previous prime is 34992193776329. The next prime is 34992193776401. The reversal of 34992193776400 is 467739129943.

The square root of 34992193776400 is 5915420.

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 480986635024 + 34511207141376 = 693532^2 + 5874624^2 .

It is not an unprimeable number, because it can be changed into a prime (34992193776401) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 744514761177 + ... + 744514761223.

Almost surely, 2^{34992193776400} is an apocalyptic number.

34992193776400 is the 5915420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34992193776400

34992193776400 is an abundant number, since it is smaller than the sum of its proper divisors (71937224934767).

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

34992193776400 is a wasteful number, since it uses less digits than its factorization.

34992193776400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 64.

The spelling of 34992193776400 in words is "thirty-four trillion, nine hundred ninety-two billion, one hundred ninety-three million, seven hundred seventy-six thousand, four hundred".