3750822400 has 120 divisors (see below), whose sum is σ = 10008242244. Its totient is φ = 1384857600.

The previous prime is 3750822389. The next prime is 3750822407. The reversal of 3750822400 is 42280573.

It can be written as a sum of positive squares in 6 ways, for example, as 1215498496 + 2535323904 = 34864^2 + 50352^2 .

It is not an unprimeable number, because it can be changed into a prime (3750822407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155130 + ... + 177670.

Almost surely, 2^3750822400 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 3750822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5004121122).

3750822400 is an abundant number, since it is smaller than the sum of its proper divisors (6257419844).

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

3750822400 is a wasteful number, since it uses less digits than its factorization.

3750822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22582 (or 22561 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 3750822400 is about 61243.9580693475. The cubic root of 3750822400 is about 1553.7298174761.

The spelling of 3750822400 in words is "three billion, seven hundred fifty million, eight hundred twenty-two thousand, four hundred".