3824275464 has 256 divisors, whose sum is σ = 11531520000. Its totient is φ = 1170692352.

The previous prime is 3824275463. The next prime is 3824275517. The reversal of 3824275464 is 4645724283.

It is a happy number.

3824275464 is a `hidden beast` number, since 3 + 82 + 4 + 27 + 546 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (3824275463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35085042 + ... + 35085150.

It is an arithmetic number, because the mean of its divisors is an integer number (45045000).

Almost surely, 2^3824275464 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 3824275464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5765760000).

3824275464 is an abundant number, since it is smaller than the sum of its proper divisors (7707244536).

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

3824275464 is a wasteful number, since it uses less digits than its factorization.

3824275464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 319 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 3824275464 is about 61840.7265804664. The cubic root of 3824275464 is about 1563.8066503524.

The spelling of 3824275464 in words is "three billion, eight hundred twenty-four million, two hundred seventy-five thousand, four hundred sixty-four".