3752424000 has 672 divisors, whose sum is σ = 15288524160. Its totient is φ = 870912000.

The previous prime is 3752423977. The next prime is 3752424001. The reversal of 3752424000 is 4242573.

3752424000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3752424001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17783895 + ... + 17784105.

It is an arithmetic number, because the mean of its divisors is an integer number (22750780).

Almost surely, 2^3752424000 is an apocalyptic number.

3752424000 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 3752424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7644262080).

3752424000 is an abundant number, since it is smaller than the sum of its proper divisors (11536100160).

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

3752424000 is a wasteful number, since it uses less digits than its factorization.

3752424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 3752424000 is about 61257.0322493671. The cubic root of 3752424000 is about 1553.9509333901.

Adding to 3752424000 its reverse (4242573), we get a palindrome (3756666573).

The spelling of 3752424000 in words is "three billion, seven hundred fifty-two million, four hundred twenty-four thousand".