345916536 has 64 divisors (see below), whose sum is σ = 992217600. Its totient is φ = 98444928.

The previous prime is 345916523. The next prime is 345916541. The reversal of 345916536 is 635619543.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40270 + ... + 48098.

It is an arithmetic number, because the mean of its divisors is an integer number (15503400).

Almost surely, 2^345916536 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 345916536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496108800).

345916536 is an abundant number, since it is smaller than the sum of its proper divisors (646301064).

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

345916536 is a wasteful number, since it uses less digits than its factorization.

345916536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8108 (or 8104 counting only the distinct ones).

The product of its digits is 291600, while the sum is 42.

The square root of 345916536 is about 18598.8315762039. The cubic root of 345916536 is about 701.9784410713.

The spelling of 345916536 in words is "three hundred forty-five million, nine hundred sixteen thousand, five hundred thirty-six".