34057793689920 has 4032 divisors, whose sum is σ = 165382467344640. Its totient is φ = 6320730931200.

The previous prime is 34057793689919. The next prime is 34057793689951. The reversal of 34057793689920 is 2998639775043.

34057793689920 is a `hidden beast` number, since 3 + 40 + 57 + 79 + 368 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×34057793689920² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 89862252291 + ... + 89862252669.

It is an arithmetic number, because the mean of its divisors is an integer number (41017477020).

Almost surely, 2^{34057793689920} is an apocalyptic number.

34057793689920 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 34057793689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82691233672320).

34057793689920 is an abundant number, since it is smaller than the sum of its proper divisors (131324673654720).

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

34057793689920 is a wasteful number, since it uses less digits than its factorization.

34057793689920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 34057793689920 in words is "thirty-four trillion, fifty-seven billion, seven hundred ninety-three million, six hundred eighty-nine thousand, nine hundred twenty".