3536055600 has 720 divisors, whose sum is σ = 14724057600. Its totient is φ = 724416000.

The previous prime is 3536055587. The next prime is 3536055613. The reversal of 3536055600 is 65506353.

3536055600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3536055587) and next prime (3536055613).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49803565 + ... + 49803635.

It is an arithmetic number, because the mean of its divisors is an integer number (20450080).

Almost surely, 2^3536055600 is an apocalyptic number.

3536055600 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 3536055600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7362028800).

3536055600 is an abundant number, since it is smaller than the sum of its proper divisors (11188002000).

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

3536055600 is a wasteful number, since it uses less digits than its factorization.

3536055600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 33.

The square root of 3536055600 is about 59464.7424950281. The cubic root of 3536055600 is about 1523.4903056463.

The spelling of 3536055600 in words is "three billion, five hundred thirty-six million, fifty-five thousand, six hundred".