3832664640 has 224 divisors, whose sum is σ = 13996416000. Its totient is φ = 870414336.

The previous prime is 3832664617. The next prime is 3832664677. The reversal of 3832664640 is 464662383.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3832664592 and 3832664601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1093611 + ... + 1097109.

It is an arithmetic number, because the mean of its divisors is an integer number (62484000).

Almost surely, 2^3832664640 is an apocalyptic number.

3832664640 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 3832664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6998208000).

3832664640 is an abundant number, since it is smaller than the sum of its proper divisors (10163751360).

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

3832664640 is a wasteful number, since it uses less digits than its factorization.

3832664640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3689 (or 3679 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The square root of 3832664640 is about 61908.5183153336. The cubic root of 3832664640 is about 1564.9493040906.

The spelling of 3832664640 in words is "three billion, eight hundred thirty-two million, six hundred sixty-four thousand, six hundred forty".