345809952 has 48 divisors (see below), whose sum is σ = 1008614880. Its totient is φ = 115269696.

The previous prime is 345809941. The next prime is 345809953. The reversal of 345809952 is 259908543.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 345809898 and 345809907.

It is not an unprimeable number, because it can be changed into a prime (345809953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199258 + ... + 200985.

It is an arithmetic number, because the mean of its divisors is an integer number (21012810).

Almost surely, 2^345809952 is an apocalyptic number.

345809952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

345809952 is an abundant number, since it is smaller than the sum of its proper divisors (662804928).

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

345809952 is a wasteful number, since it uses less digits than its factorization.

345809952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400262 (or 400248 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 345809952 is about 18595.9660141655. The cubic root of 345809952 is about 701.9063356662.

The spelling of 345809952 in words is "three hundred forty-five million, eight hundred nine thousand, nine hundred fifty-two".