3754252800 has 720 divisors, whose sum is σ = 14960417472. Its totient is φ = 928972800.

The previous prime is 3754252771. The next prime is 3754252811. The reversal of 3754252800 is 82524573.

3754252800 is a `hidden beast` number, since 37 + 542 + 5 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52876765 + ... + 52876835.

Almost surely, 2^3754252800 is an apocalyptic number.

3754252800 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 3754252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7480208736).

3754252800 is an abundant number, since it is smaller than the sum of its proper divisors (11206164672).

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

3754252800 is an equidigital number, since it uses as much as digits as its factorization.

3754252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 3754252800 is about 61271.9576968127. The cubic root of 3754252800 is about 1554.2033394719.

It can be divided in two parts, 375425 and 2800, that added together give a square (378225 = 615²).

The spelling of 3754252800 in words is "three billion, seven hundred fifty-four million, two hundred fifty-two thousand, eight hundred".