3337984 has 72 divisors (see below), whose sum is σ = 7726320. Its totient is φ = 1425408.

The previous prime is 3337979. The next prime is 3337991. The reversal of 3337984 is 4897333.

It is a super-2 number, since 2×3337984² = 22284274368512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56547 + ... + 56605.

It is an arithmetic number, because the mean of its divisors is an integer number (107310).

Almost surely, 2^3337984 is an apocalyptic number.

3337984 is a gapful number since it is divisible by the number (34) 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 3337984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863160).

3337984 is an abundant number, since it is smaller than the sum of its proper divisors (4388336).

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

3337984 is a wasteful number, since it uses less digits than its factorization.

3337984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 91 counting only the distinct ones).

The product of its digits is 54432, while the sum is 37.

The square root of 3337984 is about 1827.0150519358. The cubic root of 3337984 is about 149.4495976669.

The spelling of 3337984 in words is "three million, three hundred thirty-seven thousand, nine hundred eighty-four".