3632838876 has 24 divisors (see below), whose sum is σ = 9418471440. Its totient is φ = 1210946256.

The previous prime is 3632838871. The next prime is 3632838883. The reversal of 3632838876 is 6788382363.

It is a super-3 number, since 3×3632838876³ (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3632838871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16818591 + ... + 16818806.

It is an arithmetic number, because the mean of its divisors is an integer number (392436310).

Almost surely, 2^3632838876 is an apocalyptic number.

3632838876 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3632838876 is an abundant number, since it is smaller than the sum of its proper divisors (5785632564).

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

3632838876 is a wasteful number, since it uses less digits than its factorization.

3632838876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33637410 (or 33637402 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 3632838876 is about 60273.0360609120. The cubic root of 3632838876 is about 1537.2649034944.

The spelling of 3632838876 in words is "three billion, six hundred thirty-two million, eight hundred thirty-eight thousand, eight hundred seventy-six".