345286656 has 288 divisors, whose sum is σ = 1180539360. Its totient is φ = 95846400.

The previous prime is 345286633. The next prime is 345286693. The reversal of 345286656 is 656682543.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (1036800) is a multiple of the sum of its prime divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2635711 + ... + 2635841.

It is an arithmetic number, because the mean of its divisors is an integer number (4099095).

Almost surely, 2^345286656 is an apocalyptic number.

345286656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345286656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590269680).

345286656 is an abundant number, since it is smaller than the sum of its proper divisors (835252704).

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

345286656 is a wasteful number, since it uses less digits than its factorization.

345286656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 160 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 345286656 is about 18581.8905389091. The cubic root of 345286656 is about 701.5521042876.

The spelling of 345286656 in words is "three hundred forty-five million, two hundred eighty-six thousand, six hundred fifty-six".