35424972 has 48 divisors (see below), whose sum is σ = 100195200. Its totient is φ = 10734480.

The previous prime is 35424967. The next prime is 35424989. The reversal of 35424972 is 27942453.

35424972 is a `hidden beast` number, since 3 + 542 + 49 + 72 = 666.

It is a super-3 number, since 3×35424972³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 13722 + ... + 16097.

It is an arithmetic number, because the mean of its divisors is an integer number (2087400).

Almost surely, 2^35424972 is an apocalyptic number.

It is an amenable number.

35424972 is an abundant number, since it is smaller than the sum of its proper divisors (64770228).

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

35424972 is a wasteful number, since it uses less digits than its factorization.

35424972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29843 (or 29835 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 35424972 is about 5951.8881037869. Note that the first 3 decimals coincide. The cubic root of 35424972 is about 328.4252243222.

The spelling of 35424972 in words is "thirty-five million, four hundred twenty-four thousand, nine hundred seventy-two".