3981264 has 120 divisors (see below), whose sum is σ = 12790848. Its totient is φ = 1044480.

The previous prime is 3981253. The next prime is 3981301. The reversal of 3981264 is 4621893.

3981264 = T₁ + T₂ + ... + T₂₈₇.

3981264 is a nontrivial binomial coefficient, being equal to C(289, 3).

It is a congruent number.

It is an unprimeable number.

It is the 287-th tetrahedral number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97084 + ... + 97124.

Almost surely, 2^3981264 is an apocalyptic number.

3981264 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 3981264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6395424).

3981264 is an abundant number, since it is smaller than the sum of its proper divisors (8809584).

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

3981264 is a wasteful number, since it uses less digits than its factorization.

3981264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 3981264 is about 1995.3105021525. The cubic root of 3981264 is about 158.4918709985.

The spelling of 3981264 in words is "three million, nine hundred eighty-one thousand, two hundred sixty-four".