3129984 has 192 divisors, whose sum is σ = 11138400. Its totient is φ = 829440.

The previous prime is 3129967. The next prime is 3129991. The reversal of 3129984 is 4899213.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (15552) is a multiple of the sum of its prime divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164727 + ... + 164745.

Almost surely, 2^3129984 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 3129984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5569200).

3129984 is an abundant number, since it is smaller than the sum of its proper divisors (8008416).

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

3129984 is a wasteful number, since it uses less digits than its factorization.

3129984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 48 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 3129984 is about 1769.1760794223. The cubic root of 3129984 is about 146.2785699171.

It can be divided in two parts, 312 and 9984, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 3129984 in words is "three million, one hundred twenty-nine thousand, nine hundred eighty-four".