3742992 has 120 divisors (see below), whose sum is σ = 12186720. Its totient is φ = 1059840.

The previous prime is 3742987. The next prime is 3742993. The reversal of 3742992 is 2992473.

It is a super-2 number, since 2×3742992² = 28019978224128, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3742993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26859 + ... + 26997.

It is an arithmetic number, because the mean of its divisors is an integer number (101556).

Almost surely, 2^3742992 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 3742992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093360).

3742992 is an abundant number, since it is smaller than the sum of its proper divisors (8443728).

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

3742992 is a wasteful number, since it uses less digits than its factorization.

3742992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 172 counting only the distinct ones).

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

The square root of 3742992 is about 1934.6813691148. The cubic root of 3742992 is about 155.2647850125.

The spelling of 3742992 in words is "three million, seven hundred forty-two thousand, nine hundred ninety-two".