345620625 has 80 divisors (see below), whose sum is σ = 697276800. Its totient is φ = 148608000.

The previous prime is 345620623. The next prime is 345620641. The reversal of 345620625 is 526026543.

It is not a de Polignac number, because 345620625 - 2¹ = 345620623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (345620623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 222351 + ... + 223899.

It is an arithmetic number, because the mean of its divisors is an integer number (8715960).

Almost surely, 2^345620625 is an apocalyptic number.

345620625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

345620625 is an abundant number, since it is smaller than the sum of its proper divisors (351656175).

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

345620625 is a wasteful number, since it uses less digits than its factorization.

345620625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 345620625 is about 18590.8747776967. The cubic root of 345620625 is about 701.7782170475.

The spelling of 345620625 in words is "three hundred forty-five million, six hundred twenty thousand, six hundred twenty-five".