3864419328 has 528 divisors, whose sum is σ = 14049821952. Its totient is φ = 914227200.

The previous prime is 3864419287. The next prime is 3864419333. The reversal of 3864419328 is 8239144683.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-3 number, since 3×3864419328³ (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 124658673 + ... + 124658703.

Almost surely, 2^3864419328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3864419328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7024910976).

3864419328 is an abundant number, since it is smaller than the sum of its proper divisors (10185402624).

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

3864419328 is a wasteful number, since it uses less digits than its factorization.

3864419328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 71 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 3864419328 is about 62164.4538944886. The cubic root of 3864419328 is about 1569.2594351727.

The spelling of 3864419328 in words is "three billion, eight hundred sixty-four million, four hundred nineteen thousand, three hundred twenty-eight".