346777056 has 144 divisors (see below), whose sum is σ = 1048320000. Its totient is φ = 108428544.

The previous prime is 346777027. The next prime is 346777073. The reversal of 346777056 is 650777643.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 694695 + ... + 695193.

It is an arithmetic number, because the mean of its divisors is an integer number (7280000).

Almost surely, 2^346777056 is an apocalyptic number.

346777056 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 346777056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524160000).

346777056 is an abundant number, since it is smaller than the sum of its proper divisors (701542944).

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

346777056 is a wasteful number, since it uses less digits than its factorization.

346777056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The square root of 346777056 is about 18621.9509182040. The cubic root of 346777056 is about 702.5600517722.

The spelling of 346777056 in words is "three hundred forty-six million, seven hundred seventy-seven thousand, fifty-six".