3832550430240 has 768 divisors, whose sum is σ = 14431332335616. Its totient is φ = 836564889600.

The previous prime is 3832550430221. The next prime is 3832550430251. The reversal of 3832550430240 is 420340552383.

3832550430240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3867356145 + ... + 3867357135.

It is an arithmetic number, because the mean of its divisors is an integer number (18790797312).

Almost surely, 2^{3832550430240} is an apocalyptic number.

3832550430240 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 3832550430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7215666167808).

3832550430240 is an abundant number, since it is smaller than the sum of its proper divisors (10598781905376).

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

3832550430240 is a wasteful number, since it uses less digits than its factorization.

3832550430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 3832550430240 in words is "three trillion, eight hundred thirty-two billion, five hundred fifty million, four hundred thirty thousand, two hundred forty".