3825598464 has 288 divisors, whose sum is σ = 12079549440. Its totient is φ = 1193803776.

The previous prime is 3825598379. The next prime is 3825598523. The reversal of 3825598464 is 4648955283.

3825598464 is a `hidden beast` number, since 3 + 8 + 2 + 5 + 598 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8294400) is a multiple of the sum of its prime divisors (75).

It is a self number, because there is not a number n which added to its sum of digits gives 3825598464.

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, 81395689 + ... + 81395735.

It is an arithmetic number, because the mean of its divisors is an integer number (41942880).

Almost surely, 2^3825598464 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 3825598464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6039774720).

3825598464 is an abundant number, since it is smaller than the sum of its proper divisors (8253950976).

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

3825598464 is an frugal number, since it uses more digits than its factorization.

3825598464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 75 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The square root of 3825598464 is about 61851.4224897051. The cubic root of 3825598464 is about 1563.9869614278.

The spelling of 3825598464 in words is "three billion, eight hundred twenty-five million, five hundred ninety-eight thousand, four hundred sixty-four".