3768920 has 32 divisors (see below), whose sum is σ = 8629200. Its totient is φ = 1481088.

The previous prime is 3768913. The next prime is 3768929. The reversal of 3768920 is 298673.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3768929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1562 + ... + 3158.

Almost surely, 2^3768920 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 3768920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4314600).

3768920 is an abundant number, since it is smaller than the sum of its proper divisors (4860280).

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

3768920 is a wasteful number, since it uses less digits than its factorization.

3768920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 3768920 is about 1941.3706498245. The cubic root of 3768920 is about 155.6224708330.

Subtracting from 3768920 its sum of digits (35), we obtain a triangular number (3768885 = T₂₇₄₅).

The spelling of 3768920 in words is "three million, seven hundred sixty-eight thousand, nine hundred twenty".