3699919327104 has 960 divisors, whose sum is σ = 15048158756400. Its totient is φ = 887076126720.

The previous prime is 3699919327063. The next prime is 3699919327133. The reversal of 3699919327104 is 4017239199963.

3699919327104 is a `hidden beast` number, since 36 + 99 + 91 + 9 + 327 + 104 = 666.

It is a super-2 number, since 2×3699919327104² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 119 ways as a sum of consecutive naturals, for example, 72623112 + ... + 72674040.

Almost surely, 2^{3699919327104} 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 3699919327104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7524079378200).

3699919327104 is an abundant number, since it is smaller than the sum of its proper divisors (11348239429296).

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

3699919327104 is a wasteful number, since it uses less digits than its factorization.

3699919327104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50993 (or 50965 counting only the distinct ones).

The product of its (nonzero) digits is 19840464, while the sum is 63.

The spelling of 3699919327104 in words is "three trillion, six hundred ninety-nine billion, nine hundred nineteen million, three hundred twenty-seven thousand, one hundred four".