3974832000 has 320 divisors, whose sum is σ = 14767449840. Its totient is φ = 1059609600.

The previous prime is 3974831983. The next prime is 3974832007. The reversal of 3974832000 is 2384793.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3974832007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1294467 + ... + 1297533.

Almost surely, 2^3974832000 is an apocalyptic number.

3974832000 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 3974832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7383724920).

3974832000 is an abundant number, since it is smaller than the sum of its proper divisors (10792617840).

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

3974832000 is an equidigital number, since it uses as much as digits as its factorization.

3974832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3974832000 is about 63046.2687238507. The cubic root of 3974832000 is about 1584.0647356463.

The spelling of 3974832000 in words is "three billion, nine hundred seventy-four million, eight hundred thirty-two thousand".