3793920 has 176 divisors, whose sum is σ = 13755840. Its totient is φ = 884736.

The previous prime is 3793903. The next prime is 3793921. The reversal of 3793920 is 293973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3793921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199671 + ... + 199689.

Almost surely, 2^3793920 is an apocalyptic number.

3793920 is a gapful number since it is divisible by the number (30) 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 3793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6877920).

3793920 is an abundant number, since it is smaller than the sum of its proper divisors (9961920).

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

3793920 is a wasteful number, since it uses less digits than its factorization.

3793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 33.

The square root of 3793920 is about 1947.7987575722. The cubic root of 3793920 is about 155.9658044706.

The spelling of 3793920 in words is "three million, seven hundred ninety-three thousand, nine hundred twenty".