3684641329152 has 832 divisors, whose sum is σ = 13186120806400. Its totient is φ = 993257717760.

The previous prime is 3684641329129. The next prime is 3684641329177. The reversal of 3684641329152 is 2519231464863.

It is a happy number.

3684641329152 is a `hidden beast` number, since 3 + 6 + 8 + 464 + 1 + 3 + 29 + 152 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5839367877 + ... + 5839368507.

Almost surely, 2^{3684641329152} is an apocalyptic number.

3684641329152 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 3684641329152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6593060403200).

3684641329152 is an abundant number, since it is smaller than the sum of its proper divisors (9501479477248).

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

3684641329152 is a wasteful number, since it uses less digits than its factorization.

3684641329152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1059 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 3684641329152 in words is "three trillion, six hundred eighty-four billion, six hundred forty-one million, three hundred twenty-nine thousand, one hundred fifty-two".