3536838000 has 160 divisors (see below), whose sum is σ = 12669933120. Its totient is φ = 943142400.

The previous prime is 3536837977. The next prime is 3536838007. The reversal of 3536838000 is 8386353.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3536838007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21252 + ... + 86748.

It is an arithmetic number, because the mean of its divisors is an integer number (79187082).

Almost surely, 2^3536838000 is an apocalyptic number.

3536838000 is a gapful number since it is divisible by the number (30) 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 3536838000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6334966560).

3536838000 is an abundant number, since it is smaller than the sum of its proper divisors (9133095120).

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

3536838000 is a wasteful number, since it uses less digits than its factorization.

3536838000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65529 (or 65507 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3536838000 is about 59471.3208193664. The cubic root of 3536838000 is about 1523.6026616202.

The spelling of 3536838000 in words is "three billion, five hundred thirty-six million, eight hundred thirty-eight thousand".