34056852480 has 528 divisors, whose sum is σ = 141987780480. Its totient is φ = 7373389824.

The previous prime is 34056852457. The next prime is 34056852523. The reversal of 34056852480 is 8425865043.

34056852480 is a `hidden beast` number, since 3 + 4 + 0 + 568 + 5 + 2 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6125862 + ... + 6131418.

Almost surely, 2^34056852480 is an apocalyptic number.

34056852480 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 34056852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70993890240).

34056852480 is an abundant number, since it is smaller than the sum of its proper divisors (107930928000).

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

34056852480 is a wasteful number, since it uses less digits than its factorization.

34056852480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5614 (or 5593 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 34056852480 in words is "thirty-four billion, fifty-six million, eight hundred fifty-two thousand, four hundred eighty".