3934920 has 96 divisors (see below), whose sum is σ = 13023360. Its totient is φ = 950400.

The previous prime is 3934901. The next prime is 3934943. The reversal of 3934920 is 294393.

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 23 ways as a sum of consecutive naturals, for example, 14385 + ... + 14655.

It is an arithmetic number, because the mean of its divisors is an integer number (135660).

Almost surely, 2^3934920 is an apocalyptic number.

3934920 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 3934920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6511680).

3934920 is an abundant number, since it is smaller than the sum of its proper divisors (9088440).

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

3934920 is a wasteful number, since it uses less digits than its factorization.

3934920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 3934920 is about 1983.6632778776. The cubic root of 3934920 is about 157.8744930772.

The spelling of 3934920 in words is "three million, nine hundred thirty-four thousand, nine hundred twenty".