234036827280 has 160 divisors (see below), whose sum is σ = 808000427520. Its totient is φ = 62264770560.

The previous prime is 234036827279. The next prime is 234036827303. The reversal of 234036827280 is 82728630432.

234036827280 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 368 + 2 + 7 + 280 = 666.

234036827280 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-4 number, since 4×234036827280⁴ (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 805264 + ... + 1056656.

It is an arithmetic number, because the mean of its divisors is an integer number (5050002672).

Almost surely, 2^234036827280 is an apocalyptic number.

234036827280 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 234036827280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404000213760).

234036827280 is an abundant number, since it is smaller than the sum of its proper divisors (573963600240).

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

234036827280 is a wasteful number, since it uses less digits than its factorization.

234036827280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251846 (or 251834 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 234036827280 in words is "two hundred thirty-four billion, thirty-six million, eight hundred twenty-seven thousand, two hundred eighty".