3942400 has 144 divisors (see below), whose sum is σ = 12186720. Its totient is φ = 1228800.

The previous prime is 3942397. The next prime is 3942401. The reversal of 3942400 is 42493.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3942401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 358395 + ... + 358405.

It is an arithmetic number, because the mean of its divisors is an integer number (84630).

Almost surely, 2^3942400 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 3942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093360).

3942400 is an abundant number, since it is smaller than the sum of its proper divisors (8244320).

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

3942400 is a wasteful number, since it uses less digits than its factorization.

3942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3942400 is about 1985.5477833585. The cubic root of 3942400 is about 157.9744657770.

Adding to 3942400 its reverse (42493), we get a palindrome (3984893).

The spelling of 3942400 in words is "three million, nine hundred forty-two thousand, four hundred".