3954120 has 64 divisors (see below), whose sum is σ = 12035520. Its totient is φ = 1039104.

The previous prime is 3954101. The next prime is 3954127. The reversal of 3954120 is 214593.

3954120 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 not an unprimeable number, because it can be changed into a prime (3954127) 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 15 ways as a sum of consecutive naturals, for example, 9762 + ... + 10158.

It is an arithmetic number, because the mean of its divisors is an integer number (188055).

Almost surely, 2^3954120 is an apocalyptic number.

3954120 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 3954120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6017760).

3954120 is an abundant number, since it is smaller than the sum of its proper divisors (8081400).

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

3954120 is a wasteful number, since it uses less digits than its factorization.

3954120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 3954120 is about 1988.4969197864. The cubic root of 3954120 is about 158.1308535174.

The spelling of 3954120 in words is "three million, nine hundred fifty-four thousand, one hundred twenty".