3393792 has 72 divisors (see below), whose sum is σ = 10056480. Its totient is φ = 1128960.

The previous prime is 3393791. The next prime is 3393809. The reversal of 3393792 is 2973933.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (3393791) 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, 6667 + ... + 7157.

Almost surely, 2^3393792 is an apocalyptic number.

3393792 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 3393792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5028240).

3393792 is an abundant number, since it is smaller than the sum of its proper divisors (6662688).

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

3393792 is an equidigital number, since it uses as much as digits as its factorization.

3393792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 496 counting only the distinct ones).

The product of its digits is 30618, while the sum is 36.

The square root of 3393792 is about 1842.2247419900. The cubic root of 3393792 is about 150.2778848820.

The spelling of 3393792 in words is "three million, three hundred ninety-three thousand, seven hundred ninety-two".