337945944 has 192 divisors, whose sum is σ = 1036506240. Its totient is φ = 91445760.

The previous prime is 337945939. The next prime is 337945957. The reversal of 337945944 is 449549733.

It is a happy number.

It is a super-2 number, since 2×337945944² = 228414922132102272, which contains 22 as substring.

Its product of digits (1632960) is a multiple of the sum of its prime factors (270).

It is a junction number, because it is equal to n+sod(n) for n = 337945893 and 337945902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2073207 + ... + 2073369.

It is an arithmetic number, because the mean of its divisors is an integer number (5398470).

Almost surely, 2^337945944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 337945944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518253120).

337945944 is an abundant number, since it is smaller than the sum of its proper divisors (698560296).

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

337945944 is a wasteful number, since it uses less digits than its factorization.

337945944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 259 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 48.

The square root of 337945944 is about 18383.3061226755. The cubic root of 337945944 is about 696.5448402568.

The spelling of 337945944 in words is "three hundred thirty-seven million, nine hundred forty-five thousand, nine hundred forty-four".