34551796900 has 72 divisors (see below), whose sum is σ = 76407687720. Its totient is φ = 13558272000.

The previous prime is 34551796841. The next prime is 34551796907. The reversal of 34551796900 is 969715543.

It can be written as a sum of positive squares in 12 ways, for example, as 16035663424 + 18516133476 = 126632^2 + 136074^2 .

It is a super-2 number, since 2×34551796900² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34551796907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2365620 + ... + 2380180.

It is an arithmetic number, because the mean of its divisors is an integer number (1061217885).

Almost surely, 2^34551796900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34551796900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38203843860).

34551796900 is an abundant number, since it is smaller than the sum of its proper divisors (41855890820).

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

34551796900 is a wasteful number, since it uses less digits than its factorization.

34551796900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15025 (or 15018 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 49.

The spelling of 34551796900 in words is "thirty-four billion, five hundred fifty-one million, seven hundred ninety-six thousand, nine hundred".