3752828000 has 48 divisors (see below), whose sum is σ = 9220708224. Its totient is φ = 1501129600.

The previous prime is 3752827993. The next prime is 3752828011. The reversal of 3752828000 is 8282573.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 465104 + ... + 473103.

It is an arithmetic number, because the mean of its divisors is an integer number (192098088).

Almost surely, 2^3752828000 is an apocalyptic number.

It is an amenable number.

3752828000 is an abundant number, since it is smaller than the sum of its proper divisors (5467880224).

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

3752828000 is an equidigital number, since it uses as much as digits as its factorization.

3752828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938232 (or 938214 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 3752828000 is about 61260.3297411955. The cubic root of 3752828000 is about 1554.0066994450.

The spelling of 3752828000 in words is "three billion, seven hundred fifty-two million, eight hundred twenty-eight thousand".