3828337968 has 320 divisors, whose sum is σ = 12936949760. Its totient is φ = 947303424.

The previous prime is 3828337951. The next prime is 3828337973. The reversal of 3828337968 is 8697338283.

3828337968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13527555 + ... + 13527837.

It is an arithmetic number, because the mean of its divisors is an integer number (40427968).

Almost surely, 2^3828337968 is an apocalyptic number.

3828337968 is a gapful number since it is divisible by the number (38) 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 3828337968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6468474880).

3828337968 is an abundant number, since it is smaller than the sum of its proper divisors (9108611792).

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

3828337968 is a wasteful number, since it uses less digits than its factorization.

3828337968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 490 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 57.

The square root of 3828337968 is about 61873.5643712240. The cubic root of 3828337968 is about 1564.3601950770.

The spelling of 3828337968 in words is "three billion, eight hundred twenty-eight million, three hundred thirty-seven thousand, nine hundred sixty-eight".