3980964 has 48 divisors (see below), whose sum is σ = 10129280. Its totient is φ = 1216800.

The previous prime is 3980957. The next prime is 3980971. The reversal of 3980964 is 4690893.

3980964 = T₁₂₇ + T₁₂₈ + ... + T₂₉₅.

It is an interprime number because it is at equal distance from previous prime (3980957) and next prime (3980971).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26289 + ... + 26439.

Almost surely, 2^3980964 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 3980964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5064640).

3980964 is an abundant number, since it is smaller than the sum of its proper divisors (6148316).

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

3980964 is a wasteful number, since it uses less digits than its factorization.

3980964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 3980964 is about 1995.2353244668. The cubic root of 3980964 is about 158.4878899550.

It can be divided in two parts, 39 and 80964, that added together give a triangular number (81003 = T₄₀₂).

The spelling of 3980964 in words is "three million, nine hundred eighty thousand, nine hundred sixty-four".