363989340 has 288 divisors, whose sum is σ = 1320883200. Its totient is φ = 79971840.

The previous prime is 363989333. The next prime is 363989369. The reversal of 363989340 is 43989363.

363989340 is a `hidden beast` number, since 3 + 639 + 8 + 9 + 3 + 4 + 0 = 666.

363989340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2033371 + ... + 2033549.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2^363989340 is an apocalyptic number.

363989340 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 363989340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660441600).

363989340 is an abundant number, since it is smaller than the sum of its proper divisors (956893860).

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

363989340 is a wasteful number, since it uses less digits than its factorization.

363989340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 363989340 is about 19078.5046583845. The cubic root of 363989340 is about 713.9967280880.

The spelling of 363989340 in words is "three hundred sixty-three million, nine hundred eighty-nine thousand, three hundred forty".