3632291712 has 384 divisors, whose sum is σ = 12738086400. Its totient is φ = 970444800.

The previous prime is 3632291711. The next prime is 3632291717. The reversal of 3632291712 is 2171922363.

3632291712 is a `hidden beast` number, since 3 + 632 + 2 + 9 + 1 + 7 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3632291711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23135538 + ... + 23135694.

It is an arithmetic number, because the mean of its divisors is an integer number (33172100).

Almost surely, 2^3632291712 is an apocalyptic number.

3632291712 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 3632291712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6369043200).

3632291712 is an abundant number, since it is smaller than the sum of its proper divisors (9105794688).

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

3632291712 is a wasteful number, since it uses less digits than its factorization.

3632291712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 339 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 3632291712 is about 60268.4968453669. The cubic root of 3632291712 is about 1537.1877206745.

The spelling of 3632291712 in words is "three billion, six hundred thirty-two million, two hundred ninety-one thousand, seven hundred twelve".