3694128729984 has 768 divisors, whose sum is σ = 14291835264000. Its totient is φ = 917779230720.

The previous prime is 3694128729979. The next prime is 3694128730001. The reversal of 3694128729984 is 4899278214963.

3694128729984 is a `hidden beast` number, since 3 + 69 + 412 + 8 + 72 + 9 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67298902 + ... + 67353770.

It is an arithmetic number, because the mean of its divisors is an integer number (18609160500).

Almost surely, 2^{3694128729984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3694128729984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7145917632000).

3694128729984 is an abundant number, since it is smaller than the sum of its proper divisors (10597706534016).

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

3694128729984 is a wasteful number, since it uses less digits than its factorization.

3694128729984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54944 (or 54915 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 3694128729984 in words is "three trillion, six hundred ninety-four billion, one hundred twenty-eight million, seven hundred twenty-nine thousand, nine hundred eighty-four".