3630200832 has 144 divisors (see below), whose sum is σ = 10770079320. Its totient is φ = 1177141248.

The previous prime is 3630200807. The next prime is 3630200839. The reversal of 3630200832 is 2380020363.

3630200832 is a `hidden beast` number, since 3 + 630 + 20 + 0 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 3630200796 and 3630200805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3630200839) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 679323 + ... + 684645.

Almost surely, 2^3630200832 is an apocalyptic number.

3630200832 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 3630200832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5385039660).

3630200832 is an abundant number, since it is smaller than the sum of its proper divisors (7139878488).

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

3630200832 is a wasteful number, since it uses less digits than its factorization.

3630200832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5388 (or 5365 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3630200832 is about 60251.1479724661. The cubic root of 3630200832 is about 1536.8927102305.

The spelling of 3630200832 in words is "three billion, six hundred thirty million, two hundred thousand, eight hundred thirty-two".