4073832000 has 672 divisors, whose sum is σ = 17060509440. Its totient is φ = 908697600.

The previous prime is 4073831999. The next prime is 4073832017. The reversal of 4073832000 is 2383704.

4073832000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×4073832000² = 33192214328448000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29735932 + ... + 29736068.

Almost surely, 2^4073832000 is an apocalyptic number.

4073832000 is a gapful number since it is divisible by the number (40) 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 4073832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530254720).

4073832000 is an abundant number, since it is smaller than the sum of its proper divisors (12986677440).

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

4073832000 is a wasteful number, since it uses less digits than its factorization.

4073832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4073832000 is about 63826.5775363210. The cubic root of 4073832000 is about 1597.1083186770.

The spelling of 4073832000 in words is "four billion, seventy-three million, eight hundred thirty-two thousand".