36384390 has 224 divisors, whose sum is σ = 120877056. Its totient is φ = 7698240.

The previous prime is 36384389. The next prime is 36384391. The reversal of 36384390 is 9348363.

It is an interprime number because it is at equal distance from previous prime (36384389) and next prime (36384391).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36384391) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1173675 + ... + 1173705.

Almost surely, 2^36384390 is an apocalyptic number.

36384390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36384390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60438528).

36384390 is an abundant number, since it is smaller than the sum of its proper divisors (84492666).

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

36384390 is a wasteful number, since it uses less digits than its factorization.

36384390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 36384390 is about 6031.9474467207. The cubic root of 36384390 is about 331.3637776946.

The spelling of 36384390 in words is "thirty-six million, three hundred eighty-four thousand, three hundred ninety".