345681972 has 192 divisors, whose sum is σ = 1008672000. Its totient is φ = 101896704.

The previous prime is 345681971. The next prime is 345681977. The reversal of 345681972 is 279186543.

345681972 is a `hidden beast` number, since 3 + 4 + 568 + 19 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345681971) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2201718 + ... + 2201874.

It is an arithmetic number, because the mean of its divisors is an integer number (5253500).

Almost surely, 2^345681972 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 345681972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504336000).

345681972 is an abundant number, since it is smaller than the sum of its proper divisors (662990028).

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

345681972 is a wasteful number, since it uses less digits than its factorization.

345681972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 247 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 345681972 is about 18592.5246268494. The cubic root of 345681972 is about 701.8197360216.

The spelling of 345681972 in words is "three hundred forty-five million, six hundred eighty-one thousand, nine hundred seventy-two".