346749312 has 128 divisors (see below), whose sum is σ = 1133717760. Its totient is φ = 91441152.

The previous prime is 346749301. The next prime is 346749331. The reversal of 346749312 is 213947643.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29983 + ... + 39905.

It is an arithmetic number, because the mean of its divisors is an integer number (8857170).

Almost surely, 2^346749312 is an apocalyptic number.

346749312 is a gapful number since it is divisible by the number (32) 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 346749312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566858880).

346749312 is an abundant number, since it is smaller than the sum of its proper divisors (786968448).

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

346749312 is a wasteful number, since it uses less digits than its factorization.

346749312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9960 (or 9948 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 346749312 is about 18621.2059759834. The cubic root of 346749312 is about 702.5413150982.

The spelling of 346749312 in words is "three hundred forty-six million, seven hundred forty-nine thousand, three hundred twelve".