3722400 has 216 divisors, whose sum is σ = 14624064. Its totient is φ = 883200.

The previous prime is 3722393. The next prime is 3722413. The reversal of 3722400 is 42273.

It is a happy number.

3722400 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79177 + ... + 79223.

It is an arithmetic number, because the mean of its divisors is an integer number (67704).

Almost surely, 2^3722400 is an apocalyptic number.

3722400 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 3722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312032).

3722400 is an abundant number, since it is smaller than the sum of its proper divisors (10901664).

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

3722400 is a wasteful number, since it uses less digits than its factorization.

3722400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 3722400 is about 1929.3522228976. The cubic root of 3722400 is about 154.9795325038.

Adding to 3722400 its reverse (42273), we get a palindrome (3764673).

It can be divided in two parts, 372 and 2400, that added together give a palindrome (2772).

The spelling of 3722400 in words is "three million, seven hundred twenty-two thousand, four hundred".