34975800 has 240 divisors, whose sum is σ = 129634560. Its totient is φ = 8709120.

The previous prime is 34975799. The next prime is 34975819. The reversal of 34975800 is 857943.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 275337 + ... + 275463.

It is an arithmetic number, because the mean of its divisors is an integer number (540144).

Almost surely, 2^34975800 is an apocalyptic number.

34975800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34975800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64817280).

34975800 is an abundant number, since it is smaller than the sum of its proper divisors (94658760).

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

34975800 is a wasteful number, since it uses less digits than its factorization.

34975800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 34975800 is about 5914.0341561408. The cubic root of 34975800 is about 327.0312233463.

The spelling of 34975800 in words is "thirty-four million, nine hundred seventy-five thousand, eight hundred".