3401984 has 36 divisors (see below), whose sum is σ = 6910764. Its totient is φ = 1671168.

The previous prime is 3401963. The next prime is 3402013. The reversal of 3401984 is 4891043.

It can be written as a sum of positive squares in 2 ways, for example, as 1763584 + 1638400 = 1328^2 + 1280^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24764 + ... + 24900.

Almost surely, 2^3401984 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 3401984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3455382).

3401984 is an abundant number, since it is smaller than the sum of its proper divisors (3508780).

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

3401984 is an equidigital number, since it uses as much as digits as its factorization.

3401984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 3401984 is about 1844.4468005340. The cubic root of 3401984 is about 150.3987022674.

The spelling of 3401984 in words is "three million, four hundred one thousand, nine hundred eighty-four".