35380872 has 36 divisors (see below), whose sum is σ = 95960085. Its totient is φ = 11776800.

The previous prime is 35380871. The next prime is 35380883. The reversal of 35380872 is 27808353.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

35380872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 29877156 + 5503716 = 5466^2 + 2346^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4206.

It is a super-2 number, since 2×35380872² = 2503612206960768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (35380871) 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 8 ways as a sum of consecutive naturals, for example, 50122 + ... + 50822.

Almost surely, 2^35380872 is an apocalyptic number.

It is an amenable number.

35380872 is an abundant number, since it is smaller than the sum of its proper divisors (60579213).

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

35380872 is an equidigital number, since it uses as much as digits as its factorization.

35380872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 35380872 is about 5948.1822433412. The cubic root of 35380872 is about 328.2888839023.

It can be divided in two parts, 353 and 80872, that added together give a square (81225 = 285²).

The spelling of 35380872 in words is "thirty-five million, three hundred eighty thousand, eight hundred seventy-two".