34876240000 has 640 divisors, whose sum is σ = 107065728000. Its totient is φ = 11289600000.

The previous prime is 34876239977. The next prime is 34876240019. The reversal of 34876240000 is 4267843.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 850639980 + ... + 850640020.

It is an arithmetic number, because the mean of its divisors is an integer number (167290200).

Almost surely, 2^34876240000 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 34876240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53532864000).

34876240000 is an abundant number, since it is smaller than the sum of its proper divisors (72189488000).

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

34876240000 is an frugal number, since it uses more digits than its factorization.

34876240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The spelling of 34876240000 in words is "thirty-four billion, eight hundred seventy-six million, two hundred forty thousand".