234735406620 has 384 divisors, whose sum is σ = 804038538240. Its totient is φ = 50402304000.

The previous prime is 234735406571. The next prime is 234735406699. The reversal of 234735406620 is 26604537432.

234735406620 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×234735406620² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21453111 + ... + 21464049.

It is an arithmetic number, because the mean of its divisors is an integer number (2093850360).

Almost surely, 2^234735406620 is an apocalyptic number.

234735406620 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 234735406620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402019269120).

234735406620 is an abundant number, since it is smaller than the sum of its proper divisors (569303131620).

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

234735406620 is a wasteful number, since it uses less digits than its factorization.

234735406620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11077 (or 11075 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 42.

The spelling of 234735406620 in words is "two hundred thirty-four billion, seven hundred thirty-five million, four hundred six thousand, six hundred twenty".