345624972 has 96 divisors (see below), whose sum is σ = 1058426880. Its totient is φ = 85043520.

The previous prime is 345624971. The next prime is 345624989. The reversal of 345624972 is 279426543.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (345624971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7713 + ... + 27399.

It is an arithmetic number, because the mean of its divisors is an integer number (11025280).

Almost surely, 2^345624972 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 345624972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529213440).

345624972 is an abundant number, since it is smaller than the sum of its proper divisors (712801908).

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

345624972 is a wasteful number, since it uses less digits than its factorization.

345624972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19731 (or 19729 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 345624972 is about 18590.9916895253. The cubic root of 345624972 is about 701.7811592110.

The spelling of 345624972 in words is "three hundred forty-five million, six hundred twenty-four thousand, nine hundred seventy-two".