346399776 has 144 divisors (see below), whose sum is σ = 1018652544. Its totient is φ = 111601152.

The previous prime is 346399759. The next prime is 346399777. The reversal of 346399776 is 677993643.

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

It is not an unprimeable number, because it can be changed into a prime (346399777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2125071 + ... + 2125233.

It is an arithmetic number, because the mean of its divisors is an integer number (7073976).

Almost surely, 2^346399776 is an apocalyptic number.

346399776 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 346399776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509326272).

346399776 is an abundant number, since it is smaller than the sum of its proper divisors (672252768).

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

346399776 is a wasteful number, since it uses less digits than its factorization.

346399776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 372 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 54.

The square root of 346399776 is about 18611.8181809301. The cubic root of 346399776 is about 702.3051732793.

The spelling of 346399776 in words is "three hundred forty-six million, three hundred ninety-nine thousand, seven hundred seventy-six".