3886457339016 has 256 divisors, whose sum is σ = 12992755200000. Its totient is φ = 1051533674496.

The previous prime is 3886457339003. The next prime is 3886457339057. The reversal of 3886457339016 is 6109337546883.

3886457339016 is a `hidden beast` number, since 3 + 8 + 86 + 457 + 3 + 3 + 90 + 16 = 666.

It is a super-3 number, since 3×3886457339016³ (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 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, 71879160 + ... + 71933208.

It is an arithmetic number, because the mean of its divisors is an integer number (50752950000).

Almost surely, 2^{3886457339016} is an apocalyptic number.

3886457339016 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 3886457339016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6496377600000).

3886457339016 is an abundant number, since it is smaller than the sum of its proper divisors (9106297860984).

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

3886457339016 is a wasteful number, since it uses less digits than its factorization.

3886457339016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56593 (or 56583 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 3886457339016 in words is "three trillion, eight hundred eighty-six billion, four hundred fifty-seven million, three hundred thirty-nine thousand, sixteen".