35424256 has 72 divisors (see below), whose sum is σ = 82628910. Its totient is φ = 15138816.

The previous prime is 35424251. The next prime is 35424293. The reversal of 35424256 is 65242453.

It can be written as a sum of positive squares in only one way, i.e., 31360000 + 4064256 = 5600^2 + 2016^2 .

It is a super-3 number, since 3×35424256³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (35424251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100176 + ... + 100528.

Almost surely, 2^35424256 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 35424256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41314455).

35424256 is an abundant number, since it is smaller than the sum of its proper divisors (47204654).

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

35424256 is an equidigital number, since it uses as much as digits as its factorization.

35424256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 362 counting only the distinct ones).

The product of its digits is 28800, while the sum is 31.

The square root of 35424256 is about 5951.8279545027. The cubic root of 35424256 is about 328.4230116265.

The spelling of 35424256 in words is "thirty-five million, four hundred twenty-four thousand, two hundred fifty-six".