34258074992640 has 2432 divisors, whose sum is σ = 141149804428800. Its totient is φ = 7925422620672.

The previous prime is 34258074992549. The next prime is 34258074992651. The reversal of 34258074992640 is 4629947085243.

34258074992640 is a `hidden beast` number, since 3 + 4 + 2 + 5 + 80 + 7 + 499 + 2 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2432).

It is a super-2 number, since 2×34258074992640² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 925893918702 + ... + 925893918738.

It is an arithmetic number, because the mean of its divisors is an integer number (58038570900).

Almost surely, 2^{34258074992640} is an apocalyptic number.

34258074992640 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 34258074992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70574902214400).

34258074992640 is an abundant number, since it is smaller than the sum of its proper divisors (106891729436160).

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

34258074992640 is an frugal number, since it uses more digits than its factorization.

34258074992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 34258074992640 in words is "thirty-four trillion, two hundred fifty-eight billion, seventy-four million, nine hundred ninety-two thousand, six hundred forty".