34581121600 has 63 divisors (see below), whose sum is σ = 85109479387. Its totient is φ = 13829473280.

The previous prime is 34581121583. The next prime is 34581121609. The reversal of 34581121600 is 612118543.

The square root of 34581121600 is 185960.

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 7852795456 + 26728326144 = 88616^2 + 163488^2 .

It is a super-2 number, since 2×34581121600² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34581121609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7436076 + ... + 7440724.

Almost surely, 2^34581121600 is an apocalyptic number.

34581121600 is the 185960-th square number.

It is an amenable number.

34581121600 is an abundant number, since it is smaller than the sum of its proper divisors (50528357787).

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

34581121600 is an frugal number, since it uses more digits than its factorization.

34581121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9320 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 34581121600 in words is "thirty-four billion, five hundred eighty-one million, one hundred twenty-one thousand, six hundred".