349927656 has 64 divisors (see below), whose sum is σ = 954105600. Its totient is φ = 106299648.

The previous prime is 349927631. The next prime is 349927663. The reversal of 349927656 is 656729943.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 349927599 and 349927608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17550 + ... + 31746.

It is an arithmetic number, because the mean of its divisors is an integer number (14907900).

Almost surely, 2^349927656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349927656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477052800).

349927656 is an abundant number, since it is smaller than the sum of its proper divisors (604177944).

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

349927656 is a wasteful number, since it uses less digits than its factorization.

349927656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14298 (or 14294 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 51.

The square root of 349927656 is about 18706.3533592200. The cubic root of 349927656 is about 704.6813146436.

The spelling of 349927656 in words is "three hundred forty-nine million, nine hundred twenty-seven thousand, six hundred fifty-six".