34790490408960 has 3456 divisors, whose sum is σ = 152182684967040. Its totient is φ = 7240679424000.

The previous prime is 34790490408937. The next prime is 34790490408983. The reversal of 34790490408960 is 6980409409743.

34790490408960 is a `hidden beast` number, since 3 + 4 + 7 + 9 + 0 + 490 + 4 + 0 + 89 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (34790490408937) and next prime (34790490408983).

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 287 ways as a sum of consecutive naturals, for example, 519261050847 + ... + 519261050913.

It is an arithmetic number, because the mean of its divisors is an integer number (44034341715).

Almost surely, 2^{34790490408960} is an apocalyptic number.

34790490408960 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 34790490408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76091342483520).

34790490408960 is an abundant number, since it is smaller than the sum of its proper divisors (117392194558080).

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

34790490408960 is a wasteful number, since it uses less digits than its factorization.

34790490408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 34790490408960 in words is "thirty-four trillion, seven hundred ninety billion, four hundred ninety million, four hundred eight thousand, nine hundred sixty".