3991420800 has 672 divisors, whose sum is σ = 15552297000. Its totient is φ = 1010257920.

The previous prime is 3991420799. The next prime is 3991420813. The reversal of 3991420800 is 80241993.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 67651171 + ... + 67651229.

Almost surely, 2^3991420800 is an apocalyptic number.

3991420800 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 3991420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776148500).

3991420800 is an abundant number, since it is smaller than the sum of its proper divisors (11560876200).

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

3991420800 is an equidigital number, since it uses as much as digits as its factorization.

3991420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 3991420800 is about 63177.6922655458. The cubic root of 3991420800 is about 1586.2653537068.

The spelling of 3991420800 in words is "three billion, nine hundred ninety-one million, four hundred twenty thousand, eight hundred".