30400838064 has 240 divisors, whose sum is σ = 96548766912. Its totient is φ = 8875671552.

The previous prime is 30400838063. The next prime is 30400838089. The reversal of 30400838064 is 46083800403.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30400838063) by changing a digit.

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, 2075952 + ... + 2090544.

Almost surely, 2^30400838064 is an apocalyptic number.

30400838064 is a gapful number since it is divisible by the number (34) 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 30400838064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48274383456).

30400838064 is an abundant number, since it is smaller than the sum of its proper divisors (66147928848).

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

30400838064 is a wasteful number, since it uses less digits than its factorization.

30400838064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14684 (or 14675 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 30400838064 in words is "thirty billion, four hundred million, eight hundred thirty-eight thousand, sixty-four".