3886414667520 has 864 divisors, whose sum is σ = 16028043333120. Its totient is φ = 779669667840.

The previous prime is 3886414667501. The next prime is 3886414667561. The reversal of 3886414667520 is 257664146883.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 248659066 + ... + 248674694.

It is an arithmetic number, because the mean of its divisors is an integer number (18550976080).

Almost surely, 2^{3886414667520} is an apocalyptic number.

3886414667520 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 3886414667520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8014021666560).

3886414667520 is an abundant number, since it is smaller than the sum of its proper divisors (12141628665600).

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

3886414667520 is a wasteful number, since it uses less digits than its factorization.

3886414667520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15729 (or 15686 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 3886414667520 in words is "three trillion, eight hundred eighty-six billion, four hundred fourteen million, six hundred sixty-seven thousand, five hundred twenty".