34490440928460 has 768 divisors, whose sum is σ = 116707781836800. Its totient is φ = 7512880742400.

The previous prime is 34490440928459. The next prime is 34490440928653. The reversal of 34490440928460 is 6482904409443.

It is a self number, because there is not a number n which added to its sum of digits gives 34490440928460.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17428215751 + ... + 17428217729.

It is an arithmetic number, because the mean of its divisors is an integer number (151963257600).

Almost surely, 2^{34490440928460} is an apocalyptic number.

34490440928460 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 34490440928460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58353890918400).

34490440928460 is an abundant number, since it is smaller than the sum of its proper divisors (82217340908340).

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

34490440928460 is a wasteful number, since it uses less digits than its factorization.

34490440928460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 57.

The spelling of 34490440928460 in words is "thirty-four trillion, four hundred ninety billion, four hundred forty million, nine hundred twenty-eight thousand, four hundred sixty".