363990000 has 200 divisors, whose sum is σ = 1282989312. Its totient is φ = 88160000.

The previous prime is 363989999. The next prime is 363990007. The reversal of 363990000 is 99363.

363990000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 363990000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363990007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 329449 + ... + 330551.

Almost surely, 2^363990000 is an apocalyptic number.

363990000 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 363990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641494656).

363990000 is an abundant number, since it is smaller than the sum of its proper divisors (918999312).

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

363990000 is a wasteful number, since it uses less digits than its factorization.

363990000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 363990000 is about 19078.5219553298. The cubic root of 363990000 is about 713.9971596369.

It can be divided in two parts, 3639 and 90000, that added together give a palindrome (93639).

The spelling of 363990000 in words is "three hundred sixty-three million, nine hundred ninety thousand".