3938605122816 has 2592 divisors, whose sum is σ = 16236088848000. Its totient is φ = 930719268864.

The previous prime is 3938605122791. The next prime is 3938605122817. The reversal of 3938605122816 is 6182215068393.

3938605122816 is a `hidden beast` number, since 3 + 9 + 3 + 8 + 605 + 1 + 2 + 28 + 1 + 6 = 666.

It is a super-2 number, since 2×3938605122816² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3938605122817) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 44253990100 + ... + 44253990188.

Almost surely, 2^{3938605122816} is an apocalyptic number.

3938605122816 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 3938605122816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8118044424000).

3938605122816 is an abundant number, since it is smaller than the sum of its proper divisors (12297483725184).

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

3938605122816 is a wasteful number, since it uses less digits than its factorization.

3938605122816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 3938605122816 in words is "three trillion, nine hundred thirty-eight billion, six hundred five million, one hundred twenty-two thousand, eight hundred sixteen".