34057057500 has 240 divisors, whose sum is σ = 111714864800. Its totient is φ = 9080424000.

The previous prime is 34057057469. The next prime is 34057057519. The reversal of 34057057500 is 575075043.

34057057500 is a `hidden beast` number, since 34 + 0 + 5 + 70 + 57 + 500 = 666.

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 79 ways as a sum of consecutive naturals, for example, 5464386 + ... + 5470614.

Almost surely, 2^34057057500 is an apocalyptic number.

34057057500 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 34057057500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55857432400).

34057057500 is an abundant number, since it is smaller than the sum of its proper divisors (77657807300).

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

34057057500 is an frugal number, since it uses more digits than its factorization.

34057057500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6274 (or 6239 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 36.

The spelling of 34057057500 in words is "thirty-four billion, fifty-seven million, fifty-seven thousand, five hundred".