3981792 has 96 divisors (see below), whose sum is σ = 11491200. Its totient is φ = 1202688.

The previous prime is 3981767. The next prime is 3981821. The reversal of 3981792 is 2971893.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3981792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67459 + ... + 67517.

It is an arithmetic number, because the mean of its divisors is an integer number (119700).

Almost surely, 2^3981792 is an apocalyptic number.

3981792 is a gapful number since it is divisible by the number (32) 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 3981792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745600).

3981792 is an abundant number, since it is smaller than the sum of its proper divisors (7509408).

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

3981792 is a wasteful number, since it uses less digits than its factorization.

3981792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 3981792 is about 1995.4428080003. The cubic root of 3981792 is about 158.4988771494.

The spelling of 3981792 in words is "three million, nine hundred eighty-one thousand, seven hundred ninety-two".