345906855 has 64 divisors (see below), whose sum is σ = 711628800. Its totient is φ = 158093856.

The previous prime is 345906853. The next prime is 345906877. The reversal of 345906855 is 558609543.

345906855 is a `hidden beast` number, since 3 + 4 + 590 + 6 + 8 + 55 = 666.

It is not a de Polignac number, because 345906855 - 2¹ = 345906853 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 345906855.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345906853) 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, 74286 + ... + 78804.

It is an arithmetic number, because the mean of its divisors is an integer number (11119200).

Almost surely, 2^345906855 is an apocalyptic number.

345906855 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

345906855 is an abundant number, since it is smaller than the sum of its proper divisors (365721945).

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

345906855 is an frugal number, since it uses more digits than its factorization.

345906855 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4552 (or 4534 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 345906855 is about 18598.5713160984. The cubic root of 345906855 is about 701.9718923657.

The spelling of 345906855 in words is "three hundred forty-five million, nine hundred six thousand, eight hundred fifty-five".