3886323840 has 768 divisors, whose sum is σ = 16788384000. Its totient is φ = 832094208.

The previous prime is 3886323839. The next prime is 3886323851. The reversal of 3886323840 is 483236883.

3886323840 is a `hidden beast` number, since 3 + 8 + 8 + 632 + 3 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43666516 + ... + 43666604.

It is an arithmetic number, because the mean of its divisors is an integer number (21859875).

Almost surely, 2^3886323840 is an apocalyptic number.

3886323840 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 3886323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8394192000).

3886323840 is an abundant number, since it is smaller than the sum of its proper divisors (12902060160).

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

3886323840 is a wasteful number, since it uses less digits than its factorization.

3886323840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 3886323840 is about 62340.3869092902. The cubic root of 3886323840 is about 1572.2188378985.

The spelling of 3886323840 in words is "three billion, eight hundred eighty-six million, three hundred twenty-three thousand, eight hundred forty".