345631968 has 192 divisors, whose sum is σ = 1127831040. Its totient is φ = 102067200.

The previous prime is 345631963. The next prime is 345631987. The reversal of 345631968 is 869136543.

345631968 is a `hidden beast` number, since 3 + 4 + 5 + 631 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×345631968² = 238922914607106048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345631961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389221 + ... + 390107.

It is an arithmetic number, because the mean of its divisors is an integer number (5874120).

Almost surely, 2^345631968 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 345631968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563915520).

345631968 is an abundant number, since it is smaller than the sum of its proper divisors (782199072).

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

345631968 is a wasteful number, since it uses less digits than its factorization.

345631968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 944 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 345631968 is about 18591.1798442165. The cubic root of 345631968 is about 701.7858942352.

The spelling of 345631968 in words is "three hundred forty-five million, six hundred thirty-one thousand, nine hundred sixty-eight".