363220704 has 216 divisors, whose sum is σ = 1298409840. Its totient is φ = 94279680.

The previous prime is 363220661. The next prime is 363220709. The reversal of 363220704 is 407022363.

363220704 is a `hidden beast` number, since 3 + 632 + 20 + 7 + 0 + 4 = 666.

363220704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363220709) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243192 + ... + 244680.

Almost surely, 2^363220704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363220704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649204920).

363220704 is an abundant number, since it is smaller than the sum of its proper divisors (935189136).

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

363220704 is a wasteful number, since it uses less digits than its factorization.

363220704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 363220704 is about 19058.3499810451. The cubic root of 363220704 is about 713.4937917972.

It can be divided in two parts, 3632 and 20704, that added together give a square (24336 = 156²).

The spelling of 363220704 in words is "three hundred sixty-three million, two hundred twenty thousand, seven hundred four".