35372064 has 96 divisors (see below), whose sum is σ = 114307200. Its totient is φ = 9326592.

The previous prime is 35372063. The next prime is 35372081. The reversal of 35372064 is 46027353.

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

It is not an unprimeable number, because it can be changed into a prime (35372063) 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, 6712 + ... + 10760.

It is an arithmetic number, because the mean of its divisors is an integer number (1190700).

Almost surely, 2^35372064 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 35372064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57153600).

35372064 is an abundant number, since it is smaller than the sum of its proper divisors (78935136).

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

35372064 is a wasteful number, since it uses less digits than its factorization.

35372064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082 (or 4074 counting only the distinct ones).

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

The square root of 35372064 is about 5947.4418029940. The cubic root of 35372064 is about 328.2616393461.

The spelling of 35372064 in words is "thirty-five million, three hundred seventy-two thousand, sixty-four".