345157824 has 168 divisors, whose sum is σ = 1021567680. Its totient is φ = 102755840.

The previous prime is 345157823. The next prime is 345157829. The reversal of 345157824 is 428751543.

It is not an unprimeable number, because it can be changed into a prime (345157823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1928167 + ... + 1928345.

It is an arithmetic number, because the mean of its divisors is an integer number (6080760).

Almost surely, 2^345157824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345157824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510783840).

345157824 is an abundant number, since it is smaller than the sum of its proper divisors (676409856).

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

345157824 is a wasteful number, since it uses less digits than its factorization.

345157824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 278 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 345157824 is about 18578.4236145051. The cubic root of 345157824 is about 701.4648399788.

The spelling of 345157824 in words is "three hundred forty-five million, one hundred fifty-seven thousand, eight hundred twenty-four".