34157800 has 48 divisors (see below), whose sum is σ = 79866540. Its totient is φ = 13585920.

The previous prime is 34157789. The next prime is 34157813. The reversal of 34157800 is 875143.

It can be written as a sum of positive squares in 6 ways, for example, as 17690436 + 16467364 = 4206^2 + 4058^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46234 + ... + 46966.

Almost surely, 2^34157800 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 34157800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39933270).

34157800 is an abundant number, since it is smaller than the sum of its proper divisors (45708740).

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

34157800 is a wasteful number, since it uses less digits than its factorization.

34157800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 34157800 is about 5844.4674693252. The cubic root of 34157800 is about 324.4615937572.

The spelling of 34157800 in words is "thirty-four million, one hundred fifty-seven thousand, eight hundred".