3750280800 has 576 divisors, whose sum is σ = 15199027200. Its totient is φ = 783820800.

The previous prime is 3750280799. The next prime is 3750280837. The reversal of 3750280800 is 80820573.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9895011 + ... + 9895389.

It is an arithmetic number, because the mean of its divisors is an integer number (26387200).

Almost surely, 2^3750280800 is an apocalyptic number.

3750280800 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 3750280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7599513600).

3750280800 is an abundant number, since it is smaller than the sum of its proper divisors (11448746400).

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

3750280800 is a wasteful number, since it uses less digits than its factorization.

3750280800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 3750280800 is about 61239.5362490605. The cubic root of 3750280800 is about 1553.6550302707.

The spelling of 3750280800 in words is "three billion, seven hundred fifty million, two hundred eighty thousand, eight hundred".