3832688640 has 416 divisors, whose sum is σ = 13757734656. Its totient is φ = 903086080.

The previous prime is 3832688609. The next prime is 3832688647. The reversal of 3832688640 is 468862383.

It is a happy number.

It is a super-2 number, since 2×3832688640² = 29379004422370099200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3832688640.

It is not an unprimeable number, because it can be changed into a prime (3832688647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35819467 + ... + 35819573.

Almost surely, 2^3832688640 is an apocalyptic number.

3832688640 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 3832688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6878867328).

3832688640 is an abundant number, since it is smaller than the sum of its proper divisors (9925046016).

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

3832688640 is a wasteful number, since it uses less digits than its factorization.

3832688640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The square root of 3832688640 is about 61908.7121494221. The cubic root of 3832688640 is about 1564.9525706347.

The spelling of 3832688640 in words is "three billion, eight hundred thirty-two million, six hundred eighty-eight thousand, six hundred forty".