34280829483264 has 1152 divisors, whose sum is σ = 126932920647680. Its totient is φ = 8884926775296.

The previous prime is 34280829483253. The next prime is 34280829483293. The reversal of 34280829483264 is 46238492808243.

34280829483264 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 0 + 8 + 294 + 83 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25833329769 + ... + 25833331095.

Almost surely, 2^{34280829483264} 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 34280829483264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63466460323840).

34280829483264 is an abundant number, since it is smaller than the sum of its proper divisors (92652091164416).

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

34280829483264 is a wasteful number, since it uses less digits than its factorization.

34280829483264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 63.

The spelling of 34280829483264 in words is "thirty-four trillion, two hundred eighty billion, eight hundred twenty-nine million, four hundred eighty-three thousand, two hundred sixty-four".