30795309952 has 128 divisors (see below), whose sum is σ = 68409360000. Its totient is φ = 13689661440.

The previous prime is 30795309949. The next prime is 30795310009. The reversal of 30795309952 is 25990359703.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×30795309952² (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 30795309952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37236963 + ... + 37237789.

It is an arithmetic number, because the mean of its divisors is an integer number (534448125).

Almost surely, 2^30795309952 is an apocalyptic number.

30795309952 is a gapful number since it is divisible by the number (32) 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 30795309952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34204680000).

30795309952 is an abundant number, since it is smaller than the sum of its proper divisors (37614050048).

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

30795309952 is a wasteful number, since it uses less digits than its factorization.

30795309952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 2296350, while the sum is 52.

The spelling of 30795309952 in words is "thirty billion, seven hundred ninety-five million, three hundred nine thousand, nine hundred fifty-two".