34874975200 has 432 divisors, whose sum is σ = 97578504576. Its totient is φ = 12148531200.

The previous prime is 34874975173. The next prime is 34874975243. The reversal of 34874975200 is 257947843.

It is a happy number.

34874975200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 222133522 + ... + 222133678.

It is an arithmetic number, because the mean of its divisors is an integer number (225876168).

Almost surely, 2^34874975200 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 34874975200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48789252288).

34874975200 is an abundant number, since it is smaller than the sum of its proper divisors (62703529376).

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

34874975200 is a wasteful number, since it uses less digits than its factorization.

34874975200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

The spelling of 34874975200 in words is "thirty-four billion, eight hundred seventy-four million, nine hundred seventy-five thousand, two hundred".