349376776 has 64 divisors (see below), whose sum is σ = 762209280. Its totient is φ = 147052800.

The previous prime is 349376761. The next prime is 349376779. The reversal of 349376776 is 677673943.

It is not an unprimeable number, because it can be changed into a prime (349376779) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1261150 + ... + 1261426.

It is an arithmetic number, because the mean of its divisors is an integer number (11909520).

Almost surely, 2^349376776 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 349376776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381104640).

349376776 is an abundant number, since it is smaller than the sum of its proper divisors (412832504).

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

349376776 is a wasteful number, since it uses less digits than its factorization.

349376776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 610 counting only the distinct ones).

The product of its digits is 4000752, while the sum is 52.

The square root of 349376776 is about 18691.6231504918. The cubic root of 349376776 is about 704.3113346188.

The spelling of 349376776 in words is "three hundred forty-nine million, three hundred seventy-six thousand, seven hundred seventy-six".