345599136 has 120 divisors (see below), whose sum is σ = 1024287264. Its totient is φ = 114307200.

The previous prime is 345599057. The next prime is 345599153. The reversal of 345599136 is 631995543.

345599136 is a `hidden beast` number, since 3 + 4 + 559 + 91 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 345599091 and 345599100.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 390951 + ... + 391833.

Almost surely, 2^345599136 is an apocalyptic number.

345599136 is a gapful number since it is divisible by the number (36) 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 345599136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512143632).

345599136 is an abundant number, since it is smaller than the sum of its proper divisors (678688128).

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

345599136 is a wasteful number, since it uses less digits than its factorization.

345599136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1039 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The square root of 345599136 is about 18590.2968238810. The cubic root of 345599136 is about 701.7636723671.

The spelling of 345599136 in words is "three hundred forty-five million, five hundred ninety-nine thousand, one hundred thirty-six".