35398272 has 128 divisors (see below), whose sum is σ = 115839360. Its totient is φ = 9326592.

The previous prime is 35398271. The next prime is 35398277. The reversal of 35398272 is 27289353.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 35398272.

It is not an unprimeable number, because it can be changed into a prime (35398271) 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 15 ways as a sum of consecutive naturals, for example, 34438 + ... + 35450.

It is an arithmetic number, because the mean of its divisors is an integer number (904995).

Almost surely, 2^35398272 is an apocalyptic number.

35398272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35398272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57919680).

35398272 is an abundant number, since it is smaller than the sum of its proper divisors (80441088).

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

35398272 is a wasteful number, since it uses less digits than its factorization.

35398272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1038 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 35398272 is about 5949.6446952738. The cubic root of 35398272 is about 328.3426916060.

It can be divided in two parts, 3539 and 8272, that added together give a palindrome (11811).

The spelling of 35398272 in words is "thirty-five million, three hundred ninety-eight thousand, two hundred seventy-two".