35013808 has 40 divisors (see below), whose sum is σ = 71982000. Its totient is φ = 16452864.

The previous prime is 35013779. The next prime is 35013809. The reversal of 35013808 is 80831053.

It is not an unprimeable number, because it can be changed into a prime (35013809) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44910 + ... + 45682.

It is an arithmetic number, because the mean of its divisors is an integer number (1799550).

Almost surely, 2^35013808 is an apocalyptic number.

35013808 is a gapful number since it is divisible by the number (38) 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 35013808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35991000).

35013808 is an abundant number, since it is smaller than the sum of its proper divisors (36968192).

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

35013808 is a wasteful number, since it uses less digits than its factorization.

35013808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 35013808 is about 5917.2466570188. The cubic root of 35013808 is about 327.1496414429.

The spelling of 35013808 in words is "thirty-five million, thirteen thousand, eight hundred eight".