3927924 has 144 divisors (see below), whose sum is σ = 13453440. Its totient is φ = 933120.

The previous prime is 3927919. The next prime is 3927929. The reversal of 3927924 is 4297293.

It is an interprime number because it is at equal distance from previous prime (3927919) and next prime (3927929).

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.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3927929) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35982 + ... + 36090.

Almost surely, 2^3927924 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 3927924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6726720).

3927924 is an abundant number, since it is smaller than the sum of its proper divisors (9525516).

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

3927924 is a wasteful number, since it uses less digits than its factorization.

3927924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 145 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 3927924 is about 1981.8990892576. The cubic root of 3927924 is about 157.7808744718.

It can be divided in two parts, 3927 and 924, that added together give a triangular number (4851 = T₉₈).

The spelling of 3927924 in words is "three million, nine hundred twenty-seven thousand, nine hundred twenty-four".