35742080 has 64 divisors (see below), whose sum is σ = 93232080. Its totient is φ = 12994560.

The previous prime is 35742079. The next prime is 35742089. The reversal of 35742080 is 8024753.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35742089) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4502 + ... + 9578.

Almost surely, 2^35742080 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 35742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46616040).

35742080 is an abundant number, since it is smaller than the sum of its proper divisors (57490000).

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

35742080 is a wasteful number, since it uses less digits than its factorization.

35742080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5107 (or 5095 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 35742080 is about 5978.4680311933. The cubic root of 35742080 is about 329.4022850413.

The spelling of 35742080 in words is "thirty-five million, seven hundred forty-two thousand, eighty".