36881376 has 96 divisors (see below), whose sum is σ = 112347648. Its totient is φ = 10375680.

The previous prime is 36881363. The next prime is 36881389. The reversal of 36881376 is 67318863.

It is an interprime number because it is at equal distance from previous prime (36881363) and next prime (36881389).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (145152) is a multiple of the sum of its prime factors (864).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47326 + ... + 48098.

It is an arithmetic number, because the mean of its divisors is an integer number (1170288).

Almost surely, 2^36881376 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 36881376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56173824).

36881376 is an abundant number, since it is smaller than the sum of its proper divisors (75466272).

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

36881376 is a wasteful number, since it uses less digits than its factorization.

36881376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 856 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 36881376 is about 6073.0038695855. The cubic root of 36881376 is about 332.8656944707.

The spelling of 36881376 in words is "thirty-six million, eight hundred eighty-one thousand, three hundred seventy-six".