34057800 has 384 divisors, whose sum is σ = 144633600. Its totient is φ = 7188480.

The previous prime is 34057799. The next prime is 34057811. The reversal of 34057800 is 875043.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 642574 + ... + 642626.

It is an arithmetic number, because the mean of its divisors is an integer number (376650).

Almost surely, 2^34057800 is an apocalyptic number.

34057800 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 34057800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72316800).

34057800 is an abundant number, since it is smaller than the sum of its proper divisors (110575800).

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

34057800 is a wasteful number, since it uses less digits than its factorization.

34057800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 34057800 is about 5835.9060993131. The cubic root of 34057800 is about 324.1446542004.

The spelling of 34057800 in words is "thirty-four million, fifty-seven thousand, eight hundred".