3781920 has 48 divisors (see below), whose sum is σ = 11914560. Its totient is φ = 1008384.

The previous prime is 3781909. The next prime is 3781951. The reversal of 3781920 is 291873.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3460 + ... + 4419.

It is an arithmetic number, because the mean of its divisors is an integer number (248220).

Almost surely, 2^3781920 is an apocalyptic number.

3781920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3781920 is an abundant number, since it is smaller than the sum of its proper divisors (8132640).

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

3781920 is a wasteful number, since it uses less digits than its factorization.

3781920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7897 (or 7889 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 3781920 is about 1944.7159175571. The cubic root of 3781920 is about 155.8011931645.

The spelling of 3781920 in words is "three million, seven hundred eighty-one thousand, nine hundred twenty".