3833680032 has 216 divisors, whose sum is σ = 13658138676. Its totient is φ = 1011032064.

The previous prime is 3833680009. The next prime is 3833680049. The reversal of 3833680032 is 2300863383.

It can be written as a sum of positive squares in 2 ways, for example, as 3749847696 + 83832336 = 61236^2 + 9156^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 173008 + ... + 193904.

Almost surely, 2^3833680032 is an apocalyptic number.

3833680032 is a gapful number since it is divisible by the number (32) 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 3833680032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6829069338).

3833680032 is an abundant number, since it is smaller than the sum of its proper divisors (9824458644).

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

3833680032 is a wasteful number, since it uses less digits than its factorization.

3833680032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20940 (or 20922 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3833680032 is about 61916.7185176992. The cubic root of 3833680032 is about 1565.0874931266.

It can be divided in two parts, 3833 and 680032, that added together give a triangular number (683865 = T₁₁₆₉).

The spelling of 3833680032 in words is "three billion, eight hundred thirty-three million, six hundred eighty thousand, thirty-two".