30835090944 has 480 divisors, whose sum is σ = 107549544960. Its totient is φ = 8314454016.

The previous prime is 30835090919. The next prime is 30835091017. The reversal of 30835090944 is 44909053803.

It is a happy number.

It is a super-2 number, since 2×30835090944² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30835090944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66027799 + ... + 66028265.

It is an arithmetic number, because the mean of its divisors is an integer number (224061552).

Almost surely, 2^30835090944 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 30835090944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53774772480).

30835090944 is an abundant number, since it is smaller than the sum of its proper divisors (76714454016).

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

30835090944 is a wasteful number, since it uses less digits than its factorization.

30835090944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 30835090944 in words is "thirty billion, eight hundred thirty-five million, ninety thousand, nine hundred forty-four".