3886648920 has 512 divisors, whose sum is σ = 16380057600. Its totient is φ = 806215680.

The previous prime is 3886648903. The next prime is 3886648943. The reversal of 3886648920 is 298466883.

3886648920 is a `hidden beast` number, since 3 + 88 + 66 + 489 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6735672 + ... + 6736248.

It is an arithmetic number, because the mean of its divisors is an integer number (31992300).

Almost surely, 2^3886648920 is an apocalyptic number.

3886648920 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 3886648920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8190028800).

3886648920 is an abundant number, since it is smaller than the sum of its proper divisors (12493408680).

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

3886648920 is a wasteful number, since it uses less digits than its factorization.

3886648920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 3886648920 is about 62342.9941533128. The cubic root of 3886648920 is about 1572.2626738963.

The spelling of 3886648920 in words is "three billion, eight hundred eighty-six million, six hundred forty-eight thousand, nine hundred twenty".