3921028800 has 336 divisors, whose sum is σ = 14307750912. Its totient is φ = 933580800.

The previous prime is 3921028693. The next prime is 3921028819. The reversal of 3921028800 is 88201293.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1933387 + ... + 1935413.

It is an arithmetic number, because the mean of its divisors is an integer number (42582592).

Almost surely, 2^3921028800 is an apocalyptic number.

3921028800 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 3921028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7153875456).

3921028800 is an abundant number, since it is smaller than the sum of its proper divisors (10386722112).

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

3921028800 is a wasteful number, since it uses less digits than its factorization.

3921028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 3921028800 is about 62618.1187836236. The cubic root of 3921028800 is about 1576.8849591055.

The spelling of 3921028800 in words is "three billion, nine hundred twenty-one million, twenty-eight thousand, eight hundred".