3753164800 has 540 divisors, whose sum is σ = 12506246424. Its totient is φ = 1101004800.

The previous prime is 3753164741. The next prime is 3753164801. The reversal of 3753164800 is 84613573.

It is a self number, because there is not a number n which added to its sum of digits gives 3753164800.

It is not an unprimeable number, because it can be changed into a prime (3753164801) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 220774392 + ... + 220774408.

Almost surely, 2^3753164800 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 3753164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6253123212).

3753164800 is an abundant number, since it is smaller than the sum of its proper divisors (8753081624).

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

3753164800 is a wasteful number, since it uses less digits than its factorization.

3753164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 3753164800 is about 61263.0786036745. The cubic root of 3753164800 is about 1554.0531865031.

The spelling of 3753164800 in words is "three billion, seven hundred fifty-three million, one hundred sixty-four thousand, eight hundred".