3757920 has 48 divisors (see below), whose sum is σ = 11838960. Its totient is φ = 1001984.

The previous prime is 3757909. The next prime is 3757927. The reversal of 3757920 is 297573.

3757920 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3757927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3435 + ... + 4394.

It is an arithmetic number, because the mean of its divisors is an integer number (246645).

Almost surely, 2^3757920 is an apocalyptic number.

3757920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3757920 is an abundant number, since it is smaller than the sum of its proper divisors (8081040).

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

3757920 is a wasteful number, since it uses less digits than its factorization.

3757920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7847 (or 7839 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 3757920 is about 1938.5355297234. The cubic root of 3757920 is about 155.4709229724.

The spelling of 3757920 in words is "three million, seven hundred fifty-seven thousand, nine hundred twenty".