3744440400 has 360 divisors, whose sum is σ = 13191869952. Its totient is φ = 904704000.

The previous prime is 3744440353. The next prime is 3744440429. The reversal of 3744440400 is 40444473.

3744440400 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19604305 + ... + 19604495.

Almost surely, 2^3744440400 is an apocalyptic number.

3744440400 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 3744440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6595934976).

3744440400 is an abundant number, since it is smaller than the sum of its proper divisors (9447429552).

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

3744440400 is a wasteful number, since it uses less digits than its factorization.

3744440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 30.

The square root of 3744440400 is about 61191.8327883714. The cubic root of 3744440400 is about 1552.8480968019.

Adding to 3744440400 its reverse (40444473), we get a palindrome (3784884873).

The spelling of 3744440400 in words is "three billion, seven hundred forty-four million, four hundred forty thousand, four hundred".