3723984 has 60 divisors (see below), whose sum is σ = 11374272. Its totient is φ = 1128000.

The previous prime is 3723959. The next prime is 3724001. The reversal of 3723984 is 4893273.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 409 + ... + 2759.

Almost surely, 2^3723984 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 3723984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687136).

3723984 is an abundant number, since it is smaller than the sum of its proper divisors (7650288).

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

3723984 is a wasteful number, since it uses less digits than its factorization.

3723984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 2367 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 3723984 is about 1929.7626797096. The cubic root of 3723984 is about 155.0015122988.

It can be divided in two parts, 372 and 3984, that added together give a square (4356 = 66²).

The spelling of 3723984 in words is "three million, seven hundred twenty-three thousand, nine hundred eighty-four".