35242000 has 80 divisors (see below), whose sum is σ = 86815872. Its totient is φ = 13833600.

The previous prime is 35241971. The next prime is 35242027. The reversal of 35242000 is 24253.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 15 ways as a sum of consecutive naturals, for example, 133869 + ... + 134131.

Almost surely, 2^35242000 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 35242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43407936).

35242000 is an abundant number, since it is smaller than the sum of its proper divisors (51573872).

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

35242000 is a wasteful number, since it uses less digits than its factorization.

35242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 35242000 is about 5936.4972837524. The cubic root of 35242000 is about 327.8588029980.

Adding to 35242000 its reverse (24253), we get a palindrome (35266253).

The spelling of 35242000 in words is "thirty-five million, two hundred forty-two thousand".