34404324870400 has 243 divisors, whose sum is σ = 85885838767659. Its totient is φ = 13644794941440.

The previous prime is 34404324870361. The next prime is 34404324870401. The reversal of 34404324870400 is 407842340443.

The square root of 34404324870400 is 5865520.

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 4161012500736 + 30243312369664 = 2039856^2 + 5499392^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34404324870401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 73670930967 + ... + 73670931433.

Almost surely, 2^{34404324870400} is an apocalyptic number.

34404324870400 is the 5865520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34404324870400

34404324870400 is an abundant number, since it is smaller than the sum of its proper divisors (51481513897259).

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

34404324870400 is an frugal number, since it uses more digits than its factorization.

34404324870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 43.

The spelling of 34404324870400 in words is "thirty-four trillion, four hundred four billion, three hundred twenty-four million, eight hundred seventy thousand, four hundred".