345624032 has 24 divisors (see below), whose sum is σ = 732790296. Its totient is φ = 159518592.

The previous prime is 345624031. The next prime is 345624043. The reversal of 345624032 is 230426543.

It is a junction number, because it is equal to n+sod(n) for n = 345623986 and 345624004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345624031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 414998 + ... + 415829.

It is an arithmetic number, because the mean of its divisors is an integer number (30532929).

Almost surely, 2^345624032 is an apocalyptic number.

345624032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

345624032 is an abundant number, since it is smaller than the sum of its proper divisors (387166264).

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

345624032 is a wasteful number, since it uses less digits than its factorization.

345624032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830850 (or 830842 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 345624032 is about 18590.9664084469. The cubic root of 345624032 is about 701.7805229964.

The spelling of 345624032 in words is "three hundred forty-five million, six hundred twenty-four thousand, thirty-two".