3928708800 has 252 divisors, whose sum is σ = 14097294640. Its totient is φ = 1037629440.

The previous prime is 3928708799. The next prime is 3928708813. The reversal of 3928708800 is 88078293.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1568349 + ... + 1570851.

Almost surely, 2^3928708800 is an apocalyptic number.

3928708800 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 3928708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7048647320).

3928708800 is an abundant number, since it is smaller than the sum of its proper divisors (10168585840).

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

3928708800 is a wasteful number, since it uses less digits than its factorization.

3928708800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 3928708800 is about 62679.4128881246. The cubic root of 3928708800 is about 1577.9138198874.

The spelling of 3928708800 in words is "three billion, nine hundred twenty-eight million, seven hundred eight thousand, eight hundred".