4032852000 has 384 divisors, whose sum is σ = 14054197248. Its totient is φ = 1009152000.

The previous prime is 4032851987. The next prime is 4032852017. The reversal of 4032852000 is 2582304.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13763854 + ... + 13764146.

It is an arithmetic number, because the mean of its divisors is an integer number (36599472).

Almost surely, 2^4032852000 is an apocalyptic number.

4032852000 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 4032852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7027098624).

4032852000 is an abundant number, since it is smaller than the sum of its proper divisors (10021345248).

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

4032852000 is a wasteful number, since it uses less digits than its factorization.

4032852000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4032852000 is about 63504.7399805715. The cubic root of 4032852000 is about 1591.7349836208.

The spelling of 4032852000 in words is "four billion, thirty-two million, eight hundred fifty-two thousand".