30400034048 has 72 divisors (see below), whose sum is σ = 65360988000. Its totient is φ = 14065035264.

The previous prime is 30400034023. The next prime is 30400034057. The reversal of 30400034048 is 84043000403.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136478 + ... + 281826.

It is an arithmetic number, because the mean of its divisors is an integer number (907791500).

Almost surely, 2^30400034048 is an apocalyptic number.

30400034048 is a gapful number since it is divisible by the number (38) 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 30400034048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32680494000).

30400034048 is an abundant number, since it is smaller than the sum of its proper divisors (34960953952).

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

30400034048 is a wasteful number, since it uses less digits than its factorization.

30400034048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145427 (or 145413 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The spelling of 30400034048 in words is "thirty billion, four hundred million, thirty-four thousand, forty-eight".