36671904 has 72 divisors (see below), whose sum is σ = 104936832. Its totient is φ = 12147840.

The previous prime is 36671897. The next prime is 36671933. The reversal of 36671904 is 40917663.

It is a tau number, because it is divible by the number of its divisors (72).

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

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

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 11 ways as a sum of consecutive naturals, for example, 63939 + ... + 64509.

It is an arithmetic number, because the mean of its divisors is an integer number (1457456).

Almost surely, 2^36671904 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 36671904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52468416).

36671904 is an abundant number, since it is smaller than the sum of its proper divisors (68264928).

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

36671904 is a wasteful number, since it uses less digits than its factorization.

36671904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 36671904 is about 6055.7331513203. The cubic root of 36671904 is about 332.2343146785.

The spelling of 36671904 in words is "thirty-six million, six hundred seventy-one thousand, nine hundred four".