3859672000 has 112 divisors (see below), whose sum is σ = 9739896192. Its totient is φ = 1514572800.

The previous prime is 3859671979. The next prime is 3859672009. The reversal of 3859672000 is 2769583.

3859672000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3859672009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419449 + ... + 428551.

Almost surely, 2^3859672000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3859672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4869948096).

3859672000 is an abundant number, since it is smaller than the sum of its proper divisors (5880224192).

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

3859672000 is an equidigital number, since it uses as much as digits as its factorization.

3859672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9183 (or 9163 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 3859672000 is about 62126.2585385600. The cubic root of 3859672000 is about 1568.6165751615.

The spelling of 3859672000 in words is "three billion, eight hundred fifty-nine million, six hundred seventy-two thousand".