3828641664 has 128 divisors (see below), whose sum is σ = 10967040000. Its totient is φ = 1179463680.

The previous prime is 3828641657. The next prime is 3828641681. The reversal of 3828641664 is 4661468283.

It is a tau number, because it is divible by the number of its divisors (128).

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

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292737 + ... + 305535.

It is an arithmetic number, because the mean of its divisors is an integer number (85680000).

Almost surely, 2^3828641664 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 3828641664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5483520000).

3828641664 is an abundant number, since it is smaller than the sum of its proper divisors (7138398336).

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

3828641664 is a wasteful number, since it uses less digits than its factorization.

3828641664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12876 (or 12864 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 3828641664 is about 61876.0184885873. The cubic root of 3828641664 is about 1564.4015600571.

The spelling of 3828641664 in words is "three billion, eight hundred twenty-eight million, six hundred forty-one thousand, six hundred sixty-four".