35482720 has 96 divisors (see below), whose sum is σ = 103215168. Its totient is φ = 11225088.

The previous prime is 35482703. The next prime is 35482729. The reversal of 35482720 is 2728453.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35482729) 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 15 ways as a sum of consecutive naturals, for example, 13342 + ... + 15778.

It is an arithmetic number, because the mean of its divisors is an integer number (1075158).

Almost surely, 2^35482720 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 35482720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51607584).

35482720 is an abundant number, since it is smaller than the sum of its proper divisors (67732448).

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

35482720 is a wasteful number, since it uses less digits than its factorization.

35482720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 35482720 is about 5956.7373620129. The cubic root of 35482720 is about 328.6035881746.

The spelling of 35482720 in words is "thirty-five million, four hundred eighty-two thousand, seven hundred twenty".