3873792 has 88 divisors (see below), whose sum is σ = 11233936. Its totient is φ = 1179648.

The previous prime is 3873781. The next prime is 3873799. The reversal of 3873792 is 2973783.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3873792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3873799) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39888 + ... + 39984.

Almost surely, 2^3873792 is an apocalyptic number.

3873792 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 3873792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5616968).

3873792 is an abundant number, since it is smaller than the sum of its proper divisors (7360144).

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

3873792 is a wasteful number, since it uses less digits than its factorization.

3873792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 115 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 3873792 is about 1968.1951122793. The cubic root of 3873792 is about 157.0527092551.

Subtracting from 3873792 its reverse (2973783), we obtain a palindrome (900009).

The spelling of 3873792 in words is "three million, eight hundred seventy-three thousand, seven hundred ninety-two".