34950860800 has 156 divisors (see below), whose sum is σ = 87170063616. Its totient is φ = 13899366400.

The previous prime is 34950860773. The next prime is 34950860807. The reversal of 34950860800 is 806805943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34950860807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19557507 + ... + 19559293.

Almost surely, 2^34950860800 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 34950860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43585031808).

34950860800 is an abundant number, since it is smaller than the sum of its proper divisors (52219202816).

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

34950860800 is a wasteful number, since it uses less digits than its factorization.

34950860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 34950860800 in words is "thirty-four billion, nine hundred fifty million, eight hundred sixty thousand, eight hundred".