3942240 has 96 divisors (see below), whose sum is σ = 12773376. Its totient is φ = 1021440.

The previous prime is 3942227. The next prime is 3942241. The reversal of 3942240 is 422493.

3942240 = 216² + 217² + ... + 279².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3942240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3942241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20545 + ... + 20735.

It is an arithmetic number, because the mean of its divisors is an integer number (133056).

Almost surely, 2^3942240 is an apocalyptic number.

3942240 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 3942240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6386688).

3942240 is an abundant number, since it is smaller than the sum of its proper divisors (8831136).

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

3942240 is a wasteful number, since it uses less digits than its factorization.

3942240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3942240 is about 1985.5074918015. The cubic root of 3942240 is about 157.9723286476.

The spelling of 3942240 in words is "three million, nine hundred forty-two thousand, two hundred forty".