3835286064 has 160 divisors (see below), whose sum is σ = 11705679360. Its totient is φ = 1199607552.

The previous prime is 3835286033. The next prime is 3835286069. The reversal of 3835286064 is 4606825383.

It is a happy number.

3835286064 is a `hidden beast` number, since 3 + 8 + 3 + 528 + 60 + 64 = 666.

It is a super-2 number, since 2×3835286064² = 29418838385425224192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3835286069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 522967 + ... + 530249.

It is an arithmetic number, because the mean of its divisors is an integer number (73160496).

Almost surely, 2^3835286064 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 3835286064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5852839680).

3835286064 is an abundant number, since it is smaller than the sum of its proper divisors (7870393296).

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

3835286064 is a wasteful number, since it uses less digits than its factorization.

3835286064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7376 (or 7364 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 3835286064 is about 61929.6864516526. The cubic root of 3835286064 is about 1565.3060150737.

The spelling of 3835286064 in words is "three billion, eight hundred thirty-five million, two hundred eighty-six thousand, sixty-four".