3758974800 has 240 divisors, whose sum is σ = 13802604672. Its totient is φ = 856627200.

The previous prime is 3758974759. The next prime is 3758974837. The reversal of 3758974800 is 84798573.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5552062 + ... + 5552738.

Almost surely, 2^3758974800 is an apocalyptic number.

3758974800 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 3758974800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6901302336).

3758974800 is an abundant number, since it is smaller than the sum of its proper divisors (10043629872).

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

3758974800 is a wasteful number, since it uses less digits than its factorization.

3758974800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The square root of 3758974800 is about 61310.4787128595. The cubic root of 3758974800 is about 1554.8546784374.

The spelling of 3758974800 in words is "three billion, seven hundred fifty-eight million, nine hundred seventy-four thousand, eight hundred".