3693792 has 48 divisors (see below), whose sum is σ = 9812880. Its totient is φ = 1216512.

The previous prime is 3693791. The next prime is 3693839. The reversal of 3693792 is 2973963.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3693792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3693791) 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, 10288 + ... + 10640.

It is an arithmetic number, because the mean of its divisors is an integer number (204435).

Almost surely, 2^3693792 is an apocalyptic number.

3693792 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 3693792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906440).

3693792 is an abundant number, since it is smaller than the sum of its proper divisors (6119088).

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

3693792 is a wasteful number, since it uses less digits than its factorization.

3693792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 467 counting only the distinct ones).

The product of its digits is 61236, while the sum is 39.

The square root of 3693792 is about 1921.9240359598. The cubic root of 3693792 is about 154.5814863245.

The spelling of 3693792 in words is "three million, six hundred ninety-three thousand, seven hundred ninety-two".