36876576 has 96 divisors (see below), whose sum is σ = 107993088. Its totient is φ = 10922240.

The previous prime is 36876571. The next prime is 36876583. The reversal of 36876576 is 67567863.

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 (48).

It is not an unprimeable number, because it can be changed into a prime (36876571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49261 + ... + 50003.

It is an arithmetic number, because the mean of its divisors is an integer number (1124928).

Almost surely, 2^36876576 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 36876576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53996544).

36876576 is an abundant number, since it is smaller than the sum of its proper divisors (71116512).

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

36876576 is a wasteful number, since it uses less digits than its factorization.

36876576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 806 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 48.

The square root of 36876576 is about 6072.6086651455. The cubic root of 36876576 is about 332.8512533550.

The spelling of 36876576 in words is "thirty-six million, eight hundred seventy-six thousand, five hundred seventy-six".