3507984 has 60 divisors (see below), whose sum is σ = 10402236. Its totient is φ = 1099776.

The previous prime is 3507971. The next prime is 3507997. The reversal of 3507984 is 4897053.

It is an interprime number because it is at equal distance from previous prime (3507971) and next prime (3507997).

It can be written as a sum of positive squares in 2 ways, for example, as 2822400 + 685584 = 1680^2 + 828^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1732 + ... + 3164.

Almost surely, 2^3507984 is an apocalyptic number.

3507984 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 3507984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5201118).

3507984 is an abundant number, since it is smaller than the sum of its proper divisors (6894252).

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

3507984 is a wasteful number, since it uses less digits than its factorization.

3507984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3507984 is about 1872.9612916449. The cubic root of 3507984 is about 151.9448091410.

The spelling of 3507984 in words is "three million, five hundred seven thousand, nine hundred eighty-four".