3868938215520 has 384 divisors, whose sum is σ = 14439834178560. Its totient is φ = 852362526720.

The previous prime is 3868938215423. The next prime is 3868938215551. The reversal of 3868938215520 is 255128398683.

It is a happy number.

It is a super-2 number, since 2×3868938215520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11264896 + ... + 11603264.

It is an arithmetic number, because the mean of its divisors is an integer number (37603734840).

Almost surely, 2^{3868938215520} is an apocalyptic number.

3868938215520 is a gapful number since it is divisible by the number (30) 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 3868938215520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7219917089280).

3868938215520 is an abundant number, since it is smaller than the sum of its proper divisors (10570895963040).

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

3868938215520 is a wasteful number, since it uses less digits than its factorization.

3868938215520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338518 (or 338510 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 60.

The spelling of 3868938215520 in words is "three trillion, eight hundred sixty-eight billion, nine hundred thirty-eight million, two hundred fifteen thousand, five hundred twenty".