3835825056 has 432 divisors, whose sum is σ = 13713598080. Its totient is φ = 1010257920.

The previous prime is 3835825043. The next prime is 3835825079. The reversal of 3835825056 is 6505285383.

3835825056 is a `hidden beast` number, since 38 + 35 + 82 + 505 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14154201 + ... + 14154471.

It is an arithmetic number, because the mean of its divisors is an integer number (31744440).

Almost surely, 2^3835825056 is an apocalyptic number.

3835825056 is a gapful number since it is divisible by the number (36) 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 3835825056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6856799040).

3835825056 is an abundant number, since it is smaller than the sum of its proper divisors (9877773024).

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

3835825056 is a wasteful number, since it uses less digits than its factorization.

3835825056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 3835825056 is about 61934.0379436058. The cubic root of 3835825056 is about 1565.3793384092.

The spelling of 3835825056 in words is "three billion, eight hundred thirty-five million, eight hundred twenty-five thousand, fifty-six".