3868258970520 has 256 divisors, whose sum is σ = 14737558348800. Its totient is φ = 884093460480.

The previous prime is 3868258970489. The next prime is 3868258970531. The reversal of 3868258970520 is 250798528683.

3868258970520 is a `hidden beast` number, since 3 + 8 + 6 + 8 + 25 + 89 + 7 + 0 + 520 = 666.

It is a Cunningham number, because it is equal to 1966789²-1.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137661112 + ... + 137689208.

It is an arithmetic number, because the mean of its divisors is an integer number (57568587300).

Almost surely, 2^{3868258970520} is an apocalyptic number.

3868258970520 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 3868258970520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7368779174400).

3868258970520 is an abundant number, since it is smaller than the sum of its proper divisors (10869299378280).

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

3868258970520 is a wasteful number, since it uses less digits than its factorization.

3868258970520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46335 (or 46325 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 3868258970520 in words is "three trillion, eight hundred sixty-eight billion, two hundred fifty-eight million, nine hundred seventy thousand, five hundred twenty".