35013824 has 28 divisors (see below), whose sum is σ = 70143624. Its totient is φ = 17339904.

The previous prime is 35013809. The next prime is 35013833. The reversal of 35013824 is 42831053.

It is a super-2 number, since 2×35013824² = 2451935742205952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 35013793 and 35013802.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4292 + ... + 9404.

Almost surely, 2^35013824 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 35013824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35071812).

35013824 is an abundant number, since it is smaller than the sum of its proper divisors (35129800).

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

35013824 is a wasteful number, since it uses less digits than its factorization.

35013824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5232 (or 5222 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 35013824 is about 5917.2480089988. The cubic root of 35013824 is about 327.1496912746.

Adding to 35013824 its reverse (42831053), we get a palindrome (77844877).

The spelling of 35013824 in words is "thirty-five million, thirteen thousand, eight hundred twenty-four".