363970000 has 100 divisors (see below), whose sum is σ = 933479316. Its totient is φ = 136960000.

The previous prime is 363969989. The next prime is 363970001. The reversal of 363970000 is 79363.

It can be written as a sum of positive squares in 10 ways, for example, as 128777104 + 235192896 = 11348^2 + 15336^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363970001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 168930 + ... + 171070.

Almost surely, 2^363970000 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 363970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466739658).

363970000 is an abundant number, since it is smaller than the sum of its proper divisors (569509316).

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

363970000 is a wasteful number, since it uses less digits than its factorization.

363970000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 28.

The square root of 363970000 is about 19077.9977985112. The cubic root of 363970000 is about 713.9840821670.

The spelling of 363970000 in words is "three hundred sixty-three million, nine hundred seventy thousand".