3832003864 has 64 divisors (see below), whose sum is σ = 8414431200. Its totient is φ = 1619564544.

The previous prime is 3832003831. The next prime is 3832003913. The reversal of 3832003864 is 4683002383.

It is a super-2 number, since 2×3832003864² = 29368507227421860992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36127 + ... + 94705.

Almost surely, 2^3832003864 is an apocalyptic number.

3832003864 is a gapful number since it is divisible by the number (34) 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 3832003864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4207215600).

3832003864 is an abundant number, since it is smaller than the sum of its proper divisors (4582427336).

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

3832003864 is a wasteful number, since it uses less digits than its factorization.

3832003864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58652 (or 58648 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 3832003864 is about 61903.1813722041. The cubic root of 3832003864 is about 1564.8593631512.

The spelling of 3832003864 in words is "three billion, eight hundred thirty-two million, three thousand, eight hundred sixty-four".