363636000 has 768 divisors, whose sum is σ = 1673118720. Its totient is φ = 74649600.

The previous prime is 363635981. The next prime is 363636019. The reversal of 363636000 is 636363.

It is an interprime number because it is at equal distance from previous prime (363635981) and next prime (363636019).

It is a super-2 number, since 2×363636000² = 264462280992000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9827982 + ... + 9828018.

It is an arithmetic number, because the mean of its divisors is an integer number (2178540).

Almost surely, 2^363636000 is an apocalyptic number.

363636000 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 363636000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836559360).

363636000 is an abundant number, since it is smaller than the sum of its proper divisors (1309482720).

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

363636000 is a wasteful number, since it uses less digits than its factorization.

363636000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 363636000 is about 19069.2422502836. The cubic root of 363636000 is about 713.7656175816.

The spelling of 363636000 in words is "three hundred sixty-three million, six hundred thirty-six thousand".