36882405 has 64 divisors (see below), whose sum is σ = 77414400. Its totient is φ = 16303680.

The previous prime is 36882379. The next prime is 36882421. The reversal of 36882405 is 50428863.

It is not a de Polignac number, because 36882405 - 2⁷ = 36882277 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 36882405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28666 + ... + 29924.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 2^36882405 is an apocalyptic number.

36882405 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36882405 is an abundant number, since it is smaller than the sum of its proper divisors (40531995).

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

36882405 is a wasteful number, since it uses less digits than its factorization.

36882405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 36882405 is about 6073.0885881897. The cubic root of 36882405 is about 332.8687901218.

The spelling of 36882405 in words is "thirty-six million, eight hundred eighty-two thousand, four hundred five".