393003936 has 144 divisors (see below), whose sum is σ = 1236539304. Its totient is φ = 117614592.

The previous prime is 393003931. The next prime is 393003979. The reversal of 393003936 is 639300393.

It can be written as a sum of positive squares in 4 ways, for example, as 245235600 + 147768336 = 15660^2 + 12156^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×393003936² = 308904187422984192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 393003936.

It is not an unprimeable number, because it can be changed into a prime (393003931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137110 + ... + 139946.

Almost surely, 2^393003936 is an apocalyptic number.

393003936 is a gapful number since it is divisible by the number (36) 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 393003936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618269652).

393003936 is an abundant number, since it is smaller than the sum of its proper divisors (843535368).

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

393003936 is a wasteful number, since it uses less digits than its factorization.

393003936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2903 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 36.

The square root of 393003936 is about 19824.3268738184. The cubic root of 393003936 is about 732.4853897927.

The spelling of 393003936 in words is "three hundred ninety-three million, three thousand, nine hundred thirty-six".