36734976 has 72 divisors (see below), whose sum is σ = 106150590. Its totient is φ = 12238848.

The previous prime is 36734963. The next prime is 36735007. The reversal of 36734976 is 67943763.

It can be written as a sum of positive squares in only one way, i.e., 27878400 + 8856576 = 5280^2 + 2976^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17436 + ... + 19428.

Almost surely, 2^36734976 is an apocalyptic number.

36734976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36734976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53075295).

36734976 is an abundant number, since it is smaller than the sum of its proper divisors (69415614).

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

36734976 is a wasteful number, since it uses less digits than its factorization.

36734976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 1998 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The square root of 36734976 is about 6060.9385411832. The cubic root of 36734976 is about 332.4246754957.

It can be divided in two parts, 3673 and 4976, that added together give a square (8649 = 93²).

The spelling of 36734976 in words is "thirty-six million, seven hundred thirty-four thousand, nine hundred seventy-six".