3793980 has 48 divisors (see below), whose sum is σ = 10916640. Its totient is φ = 983808.

The previous prime is 3793973. The next prime is 3794003. The reversal of 3793980 is 893973.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1366 + ... + 3074.

It is an arithmetic number, because the mean of its divisors is an integer number (227430).

Almost surely, 2^3793980 is an apocalyptic number.

3793980 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 3793980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5458320).

3793980 is an abundant number, since it is smaller than the sum of its proper divisors (7122660).

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

3793980 is a wasteful number, since it uses less digits than its factorization.

3793980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 3793980 is about 1947.8141595132. The cubic root of 3793980 is about 155.9666266544.

The spelling of 3793980 in words is "three million, seven hundred ninety-three thousand, nine hundred eighty".