345893625 has 160 divisors (see below), whose sum is σ = 803961600. Its totient is φ = 143748000.

The previous prime is 345893623. The next prime is 345893663. The reversal of 345893625 is 526398543.

345893625 is a `hidden beast` number, since 3 + 4 + 589 + 3 + 62 + 5 = 666.

It is not a de Polignac number, because 345893625 - 2¹ = 345893623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (777600) is a multiple of the sum of its prime factors (75).

It is not an unprimeable number, because it can be changed into a prime (345893621) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31444870 + ... + 31444880.

It is an arithmetic number, because the mean of its divisors is an integer number (5024760).

Almost surely, 2^345893625 is an apocalyptic number.

345893625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

345893625 is an abundant number, since it is smaller than the sum of its proper divisors (458067975).

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

345893625 is an frugal number, since it uses more digits than its factorization.

345893625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 26 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 345893625 is about 18598.2156402167. The cubic root of 345893625 is about 701.9629427440.

The spelling of 345893625 in words is "three hundred forty-five million, eight hundred ninety-three thousand, six hundred twenty-five".