34401662504 has 96 divisors (see below), whose sum is σ = 74415335040. Its totient is φ = 14784249600.

The previous prime is 34401662501. The next prime is 34401662507. The reversal of 34401662504 is 40526610443.

It is an interprime number because it is at equal distance from previous prime (34401662501) and next prime (34401662507).

It is not an unprimeable number, because it can be changed into a prime (34401662501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24174737 + ... + 24176159.

It is an arithmetic number, because the mean of its divisors is an integer number (775159740).

Almost surely, 2^34401662504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34401662504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37207667520).

34401662504 is an abundant number, since it is smaller than the sum of its proper divisors (40013672536).

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

34401662504 is a wasteful number, since it uses less digits than its factorization.

34401662504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 34401662504 in words is "thirty-four billion, four hundred one million, six hundred sixty-two thousand, five hundred four".