3201639840 has 576 divisors, whose sum is σ = 13381804800. Its totient is φ = 680804352.

The previous prime is 3201639827. The next prime is 3201639871. The reversal of 3201639840 is 489361023.

3201639840 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 3201639795 and 3201639804.

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, 13980846 + ... + 13981074.

It is an arithmetic number, because the mean of its divisors is an integer number (23232300).

Almost surely, 2^3201639840 is an apocalyptic number.

3201639840 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 3201639840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6690902400).

3201639840 is an abundant number, since it is smaller than the sum of its proper divisors (10180164960).

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

3201639840 is a wasteful number, since it uses less digits than its factorization.

3201639840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3201639840 is about 56583.0349133024. The cubic root of 3201639840 is about 1473.8642740630.

The spelling of 3201639840 in words is "three billion, two hundred one million, six hundred thirty-nine thousand, eight hundred forty".