3632694912 has 768 divisors, whose sum is σ = 14455929600. Its totient is φ = 875888640.

The previous prime is 3632694893. The next prime is 3632694991. The reversal of 3632694912 is 2194962363.

3632694912 is a `hidden beast` number, since 3 + 632 + 6 + 9 + 4 + 9 + 1 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49762908 + ... + 49762980.

It is an arithmetic number, because the mean of its divisors is an integer number (18822825).

Almost surely, 2^3632694912 is an apocalyptic number.

3632694912 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 3632694912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7227964800).

3632694912 is an abundant number, since it is smaller than the sum of its proper divisors (10823234688).

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

3632694912 is a wasteful number, since it uses less digits than its factorization.

3632694912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 113 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 3632694912 is about 60271.8417837053. The cubic root of 3632694912 is about 1537.2445967192.

The spelling of 3632694912 in words is "three billion, six hundred thirty-two million, six hundred ninety-four thousand, nine hundred twelve".