345992472 has 160 divisors (see below), whose sum is σ = 1122105600. Its totient is φ = 97557696.

The previous prime is 345992467. The next prime is 345992477. The reversal of 345992472 is 274299543.

345992472 is a `hidden beast` number, since 34 + 599 + 24 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (345992467) and next prime (345992477).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345992477) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 376029 + ... + 376947.

It is an arithmetic number, because the mean of its divisors is an integer number (7013160).

Almost surely, 2^345992472 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 345992472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561052800).

345992472 is an abundant number, since it is smaller than the sum of its proper divisors (776113128).

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

345992472 is a wasteful number, since it uses less digits than its factorization.

345992472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1014 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 345992472 is about 18600.8728827440. The cubic root of 345992472 is about 702.0298036875.

The spelling of 345992472 in words is "three hundred forty-five million, nine hundred ninety-two thousand, four hundred seventy-two".