3832634880 has 480 divisors, whose sum is σ = 14129283168. Its totient is φ = 995328000.

The previous prime is 3832634863. The next prime is 3832634917. The reversal of 3832634880 is 884362383.

3832634880 is a `hidden beast` number, since 3 + 8 + 3 + 2 + 634 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3832634880² = 29378180246785228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 37946830 + ... + 37946930.

Almost surely, 2^3832634880 is an apocalyptic number.

3832634880 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 3832634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7064641584).

3832634880 is an abundant number, since it is smaller than the sum of its proper divisors (10296648288).

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

3832634880 is an equidigital number, since it uses as much as digits as its factorization.

3832634880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 3832634880 is about 61908.2779602211. The cubic root of 3832634880 is about 1564.9452535569.

The spelling of 3832634880 in words is "three billion, eight hundred thirty-two million, six hundred thirty-four thousand, eight hundred eighty".