345967392 has 48 divisors (see below), whose sum is σ = 909800640. Its totient is φ = 115114752.

The previous prime is 345967381. The next prime is 345967393. The reversal of 345967392 is 293769543.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (345967393) 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, 55909 + ... + 61787.

It is an arithmetic number, because the mean of its divisors is an integer number (18954180).

Almost surely, 2^345967392 is an apocalyptic number.

345967392 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

345967392 is an abundant number, since it is smaller than the sum of its proper divisors (563833248).

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

345967392 is a wasteful number, since it uses less digits than its factorization.

345967392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6505 (or 6497 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 48.

The square root of 345967392 is about 18600.1987086160. The cubic root of 345967392 is about 702.0128405700.

It can be divided in two parts, 3459673 and 92, that added together give a triangular number (3459765 = T₂₆₃₀).

The spelling of 345967392 in words is "three hundred forty-five million, nine hundred sixty-seven thousand, three hundred ninety-two".