36342075 has 144 divisors (see below), whose sum is σ = 81423360. Its totient is φ = 14112000.

The previous prime is 36342049. The next prime is 36342121. The reversal of 36342075 is 57024363.

36342075 = T₁₆₅ + T₁₆₆ + ... + T₆₀₅.

36342075 is a nontrivial binomial coefficient, being equal to C(8526, 2).

It is not a de Polignac number, because 36342075 - 2⁷ = 36341947 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1172310 + ... + 1172340.

It is an arithmetic number, because the mean of its divisors is an integer number (565440).

Almost surely, 2^36342075 is an apocalyptic number.

36342075 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

36342075 is the 8525-th triangular number and also the 4263-rd hexagonal number.

36342075 is an abundant number, since it is smaller than the sum of its proper divisors (45081285).

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

36342075 is a wasteful number, since it uses less digits than its factorization.

36342075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 36342075 is about 6028.4388526384. The cubic root of 36342075 is about 331.2352693105.

The spelling of 36342075 in words is "thirty-six million, three hundred forty-two thousand, seventy-five".