34513904880 has 960 divisors, whose sum is σ = 153130199040. Its totient is φ = 6766239744.

The previous prime is 34513904827. The next prime is 34513904891. The reversal of 34513904880 is 8840931543.

34513904880 is a `hidden beast` number, since 3 + 4 + 513 + 90 + 48 + 8 + 0 = 666.

It is a super-3 number, since 3×34513904880³ (a number of 33 digits) contains 333 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55757211 + ... + 55757829.

It is an arithmetic number, because the mean of its divisors is an integer number (159510624).

Almost surely, 2^34513904880 is an apocalyptic number.

34513904880 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 34513904880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76565099520).

34513904880 is an abundant number, since it is smaller than the sum of its proper divisors (118616294160).

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

34513904880 is a wasteful number, since it uses less digits than its factorization.

34513904880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 34513904880 in words is "thirty-four billion, five hundred thirteen million, nine hundred four thousand, eight hundred eighty".