34367099904 has 220 divisors, whose sum is σ = 108668212884. Its totient is φ = 10781392896.

The previous prime is 34367099857. The next prime is 34367099911. The reversal of 34367099904 is 40999076343.

It can be written as a sum of positive squares in 2 ways, for example, as 19030754304 + 15336345600 = 137952^2 + 123840^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1397862 + ... + 1422234.

Almost surely, 2^34367099904 is an apocalyptic number.

34367099904 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34367099904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54334106442).

34367099904 is an abundant number, since it is smaller than the sum of its proper divisors (74301112980).

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

34367099904 is a wasteful number, since it uses less digits than its factorization.

34367099904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24422 (or 24395 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 34367099904 in words is "thirty-four billion, three hundred sixty-seven million, ninety-nine thousand, nine hundred four".