34902940520448 has 1248 divisors, whose sum is σ = 136500751924992. Its totient is φ = 8367266856960.

The previous prime is 34902940520423. The next prime is 34902940520477. The reversal of 34902940520448 is 84402504920943.

34902940520448 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 29 + 405 + 204 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×34902940520448² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34902940520394 and 34902940520403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4465000636 + ... + 4465008452.

It is an arithmetic number, because the mean of its divisors is an integer number (109375602504).

Almost surely, 2^{34902940520448} 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 34902940520448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68250375962496).

34902940520448 is an abundant number, since it is smaller than the sum of its proper divisors (101597811404544).

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

34902940520448 is a wasteful number, since it uses less digits than its factorization.

34902940520448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7900 (or 7853 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 34902940520448 in words is "thirty-four trillion, nine hundred two billion, nine hundred forty million, five hundred twenty thousand, four hundred forty-eight".