3741920 has 96 divisors (see below), whose sum is σ = 10922688. Its totient is φ = 1179648.

The previous prime is 3741919. The next prime is 3741929. The reversal of 3741920 is 291473.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 3741920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3741929) 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, 14432 + ... + 14688.

It is an arithmetic number, because the mean of its divisors is an integer number (113778).

Almost surely, 2^3741920 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 3741920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5461344).

3741920 is an abundant number, since it is smaller than the sum of its proper divisors (7180768).

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

3741920 is a wasteful number, since it uses less digits than its factorization.

3741920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 3741920 is about 1934.4043010705. The cubic root of 3741920 is about 155.2499608876.

The spelling of 3741920 in words is "three million, seven hundred forty-one thousand, nine hundred twenty".