36071424 has 144 divisors (see below), whose sum is σ = 110728800. Its totient is φ = 11280384.

The previous prime is 36071401. The next prime is 36071449. The reversal of 36071424 is 42417063.

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

It is a super-2 number, since 2×36071424² = 2602295258775552, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 350157 + ... + 350259.

It is an arithmetic number, because the mean of its divisors is an integer number (768950).

Almost surely, 2^36071424 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 36071424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55364400).

36071424 is an abundant number, since it is smaller than the sum of its proper divisors (74657376).

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

36071424 is a wasteful number, since it uses less digits than its factorization.

36071424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 36071424 is about 6005.9490507329. The cubic root of 36071424 is about 330.4109480901.

Adding to 36071424 its reverse (42417063), we get a palindrome (78488487).

The spelling of 36071424 in words is "thirty-six million, seventy-one thousand, four hundred twenty-four".