34659268900 has 27 divisors (see below), whose sum is σ = 75214653619. Its totient is φ = 13862962880.

The previous prime is 34659268879. The next prime is 34659268901. The reversal of 34659268900 is 986295643.

The square root of 34659268900 is 186170.

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 7450106596 + 27209162304 = 86314^2 + 164952^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34659268901) 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, 1852392 + ... + 1871008.

Almost surely, 2^34659268900 is an apocalyptic number.

34659268900 is the 186170-th square number.

It is an amenable number.

34659268900 is an abundant number, since it is smaller than the sum of its proper divisors (40555384719).

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

34659268900 is an frugal number, since it uses more digits than its factorization.

34659268900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37248 (or 18624 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 34659268900 in words is "thirty-four billion, six hundred fifty-nine million, two hundred sixty-eight thousand, nine hundred".