3910920 has 128 divisors (see below), whose sum is σ = 13305600. Its totient is φ = 912384.

The previous prime is 3910919. The next prime is 3910967. The reversal of 3910920 is 290193.

It is a happy number.

3910920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 35826 + ... + 35934.

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

Almost surely, 2^3910920 is an apocalyptic number.

3910920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3910920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652800).

3910920 is an abundant number, since it is smaller than the sum of its proper divisors (9394680).

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

3910920 is a wasteful number, since it uses less digits than its factorization.

3910920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 3910920 is about 1977.6046116451. The cubic root of 3910920 is about 157.5528671101.

The spelling of 3910920 in words is "three million, nine hundred ten thousand, nine hundred twenty".