36113376 has 96 divisors (see below), whose sum is σ = 107533440. Its totient is φ = 10520064.

The previous prime is 36113359. The next prime is 36113377. The reversal of 36113376 is 67331163.

36113376 = T₁₉₁ + T₁₉₂ + ... + T₆₀₆.

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

It is a super-2 number, since 2×36113376² = 2608351852234752, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36113377) by changing a digit.

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, 22951 + ... + 24473.

It is an arithmetic number, because the mean of its divisors is an integer number (1120140).

Almost surely, 2^36113376 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 36113376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53766720).

36113376 is an abundant number, since it is smaller than the sum of its proper divisors (71420064).

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

36113376 is a wasteful number, since it uses less digits than its factorization.

36113376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1560 counting only the distinct ones).

The product of its digits is 6804, while the sum is 30.

The square root of 36113376 is about 6009.4405729652. The cubic root of 36113376 is about 330.5389906264.

The spelling of 36113376 in words is "thirty-six million, one hundred thirteen thousand, three hundred seventy-six".