3724992 has 84 divisors (see below), whose sum is σ = 11094720. Its totient is φ = 1193472.

The previous prime is 3724979. The next prime is 3724993. The reversal of 3724992 is 2994273.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a d-powerful number, because it can be written as 3¹³ + 7 + 2¹⁵ + 4 + 9 + 9³ + 2²¹ .

It is not an unprimeable number, because it can be changed into a prime (3724993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16593 + ... + 16815.

It is an arithmetic number, because the mean of its divisors is an integer number (132080).

Almost surely, 2^3724992 is an apocalyptic number.

3724992 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 3724992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5547360).

3724992 is an abundant number, since it is smaller than the sum of its proper divisors (7369728).

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

3724992 is a wasteful number, since it uses less digits than its factorization.

3724992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 257 counting only the distinct ones).

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

The square root of 3724992 is about 1930.0238340497. The cubic root of 3724992 is about 155.0154961961.

The spelling of 3724992 in words is "three million, seven hundred twenty-four thousand, nine hundred ninety-two".