234311374080 has 576 divisors, whose sum is σ = 975982855680. Its totient is φ = 52107411456.

The previous prime is 234311374061. The next prime is 234311374091. The reversal of 234311374080 is 80473113432.

234311374080 is a `hidden beast` number, since 234 + 3 + 1 + 13 + 7 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8937952 + ... + 8964128.

It is an arithmetic number, because the mean of its divisors is an integer number (1694414680).

Almost surely, 2^234311374080 is an apocalyptic number.

234311374080 is a gapful number since it is divisible by the number (20) 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 234311374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487991427840).

234311374080 is an abundant number, since it is smaller than the sum of its proper divisors (741671481600).

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

234311374080 is a wasteful number, since it uses less digits than its factorization.

234311374080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26251 (or 26231 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 234311374080 in words is "two hundred thirty-four billion, three hundred eleven million, three hundred seventy-four thousand, eighty".