34400612004 has 96 divisors (see below), whose sum is σ = 93062390400. Its totient is φ = 9774581760.

The previous prime is 34400611969. The next prime is 34400612011. The reversal of 34400612004 is 40021600443.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 575142 + ... + 632130.

It is an arithmetic number, because the mean of its divisors is an integer number (969399900).

Almost surely, 2^34400612004 is an apocalyptic number.

34400612004 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 34400612004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46531195200).

34400612004 is an abundant number, since it is smaller than the sum of its proper divisors (58661778396).

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

34400612004 is a wasteful number, since it uses less digits than its factorization.

34400612004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57293 (or 57291 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 34400612004 in words is "thirty-four billion, four hundred million, six hundred twelve thousand, four".