36342960 has 40 divisors (see below), whose sum is σ = 112663920. Its totient is φ = 9691392.

The previous prime is 36342959. The next prime is 36342973. The reversal of 36342960 is 6924363.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75475 + ... + 75954.

It is an arithmetic number, because the mean of its divisors is an integer number (2816598).

Almost surely, 2^36342960 is an apocalyptic number.

36342960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36342960 is an abundant number, since it is smaller than the sum of its proper divisors (76320960).

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

36342960 is a wasteful number, since it uses less digits than its factorization.

36342960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151445 (or 151439 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 36342960 is about 6028.5122542797. The cubic root of 36342960 is about 331.2379580291.

The spelling of 36342960 in words is "thirty-six million, three hundred forty-two thousand, nine hundred sixty".