346980672 has 224 divisors, whose sum is σ = 1076391040. Its totient is φ = 110854656.

The previous prime is 346980671. The next prime is 346980677. The reversal of 346980672 is 276089643.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346980671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5178783 + ... + 5178849.

Almost surely, 2^346980672 is an apocalyptic number.

346980672 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 346980672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538195520).

346980672 is an abundant number, since it is smaller than the sum of its proper divisors (729410368).

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

346980672 is an frugal number, since it uses more digits than its factorization.

346980672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 346980672 is about 18627.4172122707. The cubic root of 346980672 is about 702.6975315310.

The spelling of 346980672 in words is "three hundred forty-six million, nine hundred eighty thousand, six hundred seventy-two".