35542720 has 56 divisors (see below), whose sum is σ = 85496400. Its totient is φ = 14072832.

The previous prime is 35542697. The next prime is 35542723. The reversal of 35542720 is 2724553.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (35542723) 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 7 ways as a sum of consecutive naturals, for example, 34371 + ... + 35389.

Almost surely, 2^35542720 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 35542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42748200).

35542720 is an abundant number, since it is smaller than the sum of its proper divisors (49953680).

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

35542720 is a wasteful number, since it uses less digits than its factorization.

35542720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 35542720 is about 5961.7715487932. The cubic root of 35542720 is about 328.7887028124.

The spelling of 35542720 in words is "thirty-five million, five hundred forty-two thousand, seven hundred twenty".