3835156896 has 180 divisors, whose sum is σ = 11795022162. Its totient is φ = 1222366464.

The previous prime is 3835156891. The next prime is 3835156921. The reversal of 3835156896 is 6986515383.

3835156896 is a `hidden beast` number, since 38 + 3 + 515 + 6 + 8 + 96 = 666.

3835156896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2896592400 + 938564496 = 53820^2 + 30636^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3835156891) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1369770 + ... + 1372566.

Almost surely, 2^3835156896 is an apocalyptic number.

3835156896 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 3835156896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5897511081).

3835156896 is an abundant number, since it is smaller than the sum of its proper divisors (7959865266).

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

3835156896 is a wasteful number, since it uses less digits than its factorization.

3835156896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865 (or 2825 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 3835156896 is about 61928.6435827558. The cubic root of 3835156896 is about 1565.2884423109.

The spelling of 3835156896 in words is "three billion, eight hundred thirty-five million, one hundred fifty-six thousand, eight hundred ninety-six".