36724896 has 144 divisors (see below), whose sum is σ = 119292264. Its totient is φ = 10616832.

The previous prime is 36724873. The next prime is 36724901. The reversal of 36724896 is 69842763.

It can be written as a sum of positive squares in 4 ways, for example, as 36433296 + 291600 = 6036^2 + 540^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×36724896³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63360 + ... + 63936.

Almost surely, 2^36724896 is an apocalyptic number.

36724896 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 36724896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59646132).

36724896 is an abundant number, since it is smaller than the sum of its proper divisors (82567368).

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

36724896 is a wasteful number, since it uses less digits than its factorization.

36724896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 612 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 36724896 is about 6060.1069297497. The cubic root of 36724896 is about 332.3942671708.

The spelling of 36724896 in words is "thirty-six million, seven hundred twenty-four thousand, eight hundred ninety-six".