36005376 has 80 divisors (see below), whose sum is σ = 104689728. Its totient is φ = 10905600.

The previous prime is 36005369. The next prime is 36005383. The reversal of 36005376 is 67350063.

It is an interprime number because it is at equal distance from previous prime (36005369) and next prime (36005383).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15831 + ... + 17961.

Almost surely, 2^36005376 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 36005376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52344864).

36005376 is an abundant number, since it is smaller than the sum of its proper divisors (68684352).

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

36005376 is a wasteful number, since it uses less digits than its factorization.

36005376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 30.

The square root of 36005376 is about 6000.4479832759. The cubic root of 36005376 is about 330.2091603315.

The spelling of 36005376 in words is "thirty-six million, five thousand, three hundred seventy-six".