345754656 has 240 divisors, whose sum is σ = 1133814528. Its totient is φ = 102643200.

The previous prime is 345754637. The next prime is 345754667. The reversal of 345754656 is 656457543.

345754656 is a `hidden beast` number, since 3 + 4 + 57 + 546 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1044411 + ... + 1044741.

Almost surely, 2^345754656 is an apocalyptic number.

345754656 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 345754656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566907264).

345754656 is an abundant number, since it is smaller than the sum of its proper divisors (788059872).

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

345754656 is a wasteful number, since it uses less digits than its factorization.

345754656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 380 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The square root of 345754656 is about 18594.4791806600. The cubic root of 345754656 is about 701.8689213953.

The spelling of 345754656 in words is "three hundred forty-five million, seven hundred fifty-four thousand, six hundred fifty-six".