3850972800 has 384 divisors, whose sum is σ = 13441282560. Its totient is φ = 967127040.

The previous prime is 3850972757. The next prime is 3850972813. The reversal of 3850972800 is 82790583.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 23625519 + ... + 23625681.

It is an arithmetic number, because the mean of its divisors is an integer number (35003340).

Almost surely, 2^3850972800 is an apocalyptic number.

3850972800 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 3850972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6720641280).

3850972800 is an abundant number, since it is smaller than the sum of its proper divisors (9590309760).

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

3850972800 is a wasteful number, since it uses less digits than its factorization.

3850972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 3850972800 is about 62056.2067806275. The cubic root of 3850972800 is about 1567.4372025747.

The spelling of 3850972800 in words is "three billion, eight hundred fifty million, nine hundred seventy-two thousand, eight hundred".