3765424000 has 256 divisors, whose sum is σ = 10340890560. Its totient is φ = 1354752000.

The previous prime is 3765423997. The next prime is 3765424007. The reversal of 3765424000 is 4245673.

3765424000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3765424007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8943790 + ... + 8944210.

Almost surely, 2^3765424000 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 3765424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5170445280).

3765424000 is an abundant number, since it is smaller than the sum of its proper divisors (6575466560).

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

3765424000 is a wasteful number, since it uses less digits than its factorization.

3765424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 3765424000 is about 61363.0507716166. The cubic root of 3765424000 is about 1555.7433817039.

Adding to 3765424000 its reverse (4245673), we get a palindrome (3769669673).

The spelling of 3765424000 in words is "three billion, seven hundred sixty-five million, four hundred twenty-four thousand".