35395542 has 120 divisors (see below), whose sum is σ = 99647856. Its totient is φ = 9335088.

The previous prime is 35395541. The next prime is 35395543. The reversal of 35395542 is 24559353.

35395542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (35395541) and next prime (35395543).

Its product of digits (81000) is a multiple of the sum of its prime divisors (25).

It is a junction number, because it is equal to n+sod(n) for n = 35395497 and 35395506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35395541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2722728 + ... + 2722740.

Almost surely, 2^35395542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35395542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49823928).

35395542 is an abundant number, since it is smaller than the sum of its proper divisors (64252314).

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

35395542 is an frugal number, since it uses more digits than its factorization.

35395542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 25 counting only the distinct ones).

The product of its digits is 81000, while the sum is 36.

The square root of 35395542 is about 5949.4152653853. The cubic root of 35395542 is about 328.3342505292.

It can be divided in two parts, 35395 and 542, that added together give a cube (35937 = 33³).

The spelling of 35395542 in words is "thirty-five million, three hundred ninety-five thousand, five hundred forty-two".