30839078400 has 480 divisors, whose sum is σ = 110675832960. Its totient is φ = 7524679680.

The previous prime is 30839078393. The next prime is 30839078447. The reversal of 30839078400 is 487093803.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×30839078400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 81369411 + ... + 81369789.

It is an arithmetic number, because the mean of its divisors is an integer number (230574652).

Almost surely, 2^30839078400 is an apocalyptic number.

30839078400 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 30839078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55337916480).

30839078400 is an abundant number, since it is smaller than the sum of its proper divisors (79836754560).

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

30839078400 is a wasteful number, since it uses less digits than its factorization.

30839078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 30839078400 in words is "thirty billion, eight hundred thirty-nine million, seventy-eight thousand, four hundred".