34043940100 has 27 divisors (see below), whose sum is σ = 73879354101. Its totient is φ = 13616838000.

The previous prime is 34043940089. The next prime is 34043940149. The reversal of 34043940100 is 104934043.

The square root of 34043940100 is 184510.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12255818436 + 21788121664 = 110706^2 + 147608^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1835875 + ... + 1854325.

Almost surely, 2^34043940100 is an apocalyptic number.

34043940100 is the 184510-th square number.

It is an amenable number.

34043940100 is an abundant number, since it is smaller than the sum of its proper divisors (39835414001).

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

34043940100 is an frugal number, since it uses more digits than its factorization.

34043940100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36916 (or 18458 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Multiplying 34043940100 by its product of nonzero digits (5184), we get a square (176483785478400 = 13284720²).

The spelling of 34043940100 in words is "thirty-four billion, forty-three million, nine hundred forty thousand, one hundred".