337980672 has 108 divisors (see below), whose sum is σ = 1031923620. Its totient is φ = 106020864.

The previous prime is 337980667. The next prime is 337980677. The reversal of 337980672 is 276089733.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (337980667) and next prime (337980677).

It can be written as a sum of positive squares in 2 ways, for example, as 261662976 + 76317696 = 16176^2 + 8736^2 .

It is a super-2 number, since 2×337980672² = 228461869291143168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (337980677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34854 + ... + 43482.

Almost surely, 2^337980672 is an apocalyptic number.

337980672 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 337980672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515961810).

337980672 is an abundant number, since it is smaller than the sum of its proper divisors (693942948).

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

337980672 is a wasteful number, since it uses less digits than its factorization.

337980672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8668 (or 8651 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 337980672 is about 18384.2506510328. The cubic root of 337980672 is about 696.5686988858.

The spelling of 337980672 in words is "three hundred thirty-seven million, nine hundred eighty thousand, six hundred seventy-two".