346296672 has 72 divisors (see below), whose sum is σ = 989306136. Its totient is φ = 114902016.

The previous prime is 346296649. The next prime is 346296689. The reversal of 346296672 is 276692643.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62728 + ... + 68024.

It is an arithmetic number, because the mean of its divisors is an integer number (13740363).

Almost surely, 2^346296672 is an apocalyptic number.

346296672 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 346296672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494653068).

346296672 is an abundant number, since it is smaller than the sum of its proper divisors (643009464).

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

346296672 is a wasteful number, since it uses less digits than its factorization.

346296672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5540 (or 5529 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 346296672 is about 18609.0481218143. The cubic root of 346296672 is about 702.2354872663.

The spelling of 346296672 in words is "three hundred forty-six million, two hundred ninety-six thousand, six hundred seventy-two".