3790880 has 96 divisors (see below), whose sum is σ = 9979200. Its totient is φ = 1354752.

The previous prime is 3790807. The next prime is 3790889. The reversal of 3790880 is 880973.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3790880.

It is not an unprimeable number, because it can be changed into a prime (3790889) 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, 88139 + ... + 88181.

It is an arithmetic number, because the mean of its divisors is an integer number (103950).

Almost surely, 2^3790880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3790880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989600).

3790880 is an abundant number, since it is smaller than the sum of its proper divisors (6188320).

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

3790880 is a wasteful number, since it uses less digits than its factorization.

3790880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 3790880 is about 1947.0182330939. The cubic root of 3790880 is about 155.9241358059.

The spelling of 3790880 in words is "three million, seven hundred ninety thousand, eight hundred eighty".