3899374166016 has 1792 divisors, whose sum is σ = 14743756339200. Its totient is φ = 993735475200.

The previous prime is 3899374166011. The next prime is 3899374166033. The reversal of 3899374166016 is 6106614739983.

3899374166016 is a `hidden beast` number, since 3 + 8 + 9 + 9 + 3 + 7 + 4 + 16 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-3 number, since 3×3899374166016³ (a number of 39 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (3899374166011) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 63924166626 + ... + 63924166686.

It is an arithmetic number, because the mean of its divisors is an integer number (8227542600).

Almost surely, 2^{3899374166016} is an apocalyptic number.

3899374166016 is a gapful number since it is divisible by the number (36) 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 3899374166016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7371878169600).

3899374166016 is an abundant number, since it is smaller than the sum of its proper divisors (10844382173184).

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

3899374166016 is a wasteful number, since it uses less digits than its factorization.

3899374166016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 3899374166016 in words is "three trillion, eight hundred ninety-nine billion, three hundred seventy-four million, one hundred sixty-six thousand, sixteen".