34874902000 has 80 divisors (see below), whose sum is σ = 84424489344. Its totient is φ = 13933920000.

The previous prime is 34874901973. The next prime is 34874902031. The reversal of 34874902000 is 20947843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1812430 + ... + 1831570.

Almost surely, 2^34874902000 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 34874902000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42212244672).

34874902000 is an abundant number, since it is smaller than the sum of its proper divisors (49549587344).

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

34874902000 is a wasteful number, since it uses less digits than its factorization.

34874902000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20075 (or 20059 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 34874902000 in words is "thirty-four billion, eight hundred seventy-four million, nine hundred two thousand".