34110707904 has 896 divisors, whose sum is σ = 133136640000. Its totient is φ = 8486166528.

The previous prime is 34110707879. The next prime is 34110707929. The reversal of 34110707904 is 40970701143.

It is an interprime number because it is at equal distance from previous prime (34110707879) and next prime (34110707929).

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 127 ways as a sum of consecutive naturals, for example, 146397772 + ... + 146398004.

It is an arithmetic number, because the mean of its divisors is an integer number (148590000).

Almost surely, 2^34110707904 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 34110707904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66568320000).

34110707904 is an abundant number, since it is smaller than the sum of its proper divisors (99025932096).

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

34110707904 is a wasteful number, since it uses less digits than its factorization.

34110707904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 34110707904 in words is "thirty-four billion, one hundred ten million, seven hundred seven thousand, nine hundred four".