34091244900 has 72 divisors (see below), whose sum is σ = 109597047840. Its totient is φ = 9090997920.

The previous prime is 34091244881. The next prime is 34091244919. The reversal of 34091244900 is 944219043.

34091244900 is a `hidden beast` number, since 3 + 40 + 9 + 124 + 490 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34091244881) and next prime (34091244919).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6310494 + ... + 6315893.

It is an arithmetic number, because the mean of its divisors is an integer number (1522181220).

Almost surely, 2^34091244900 is an apocalyptic number.

34091244900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34091244900 is an abundant number, since it is smaller than the sum of its proper divisors (75505802940).

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

34091244900 is a wasteful number, since it uses less digits than its factorization.

34091244900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12626410 (or 12626397 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 34091244900 in words is "thirty-four billion, ninety-one million, two hundred forty-four thousand, nine hundred".