35040096 has 216 divisors, whose sum is σ = 125483904. Its totient is φ = 9192960.

The previous prime is 35040067. The next prime is 35040097. The reversal of 35040096 is 69004053.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35040097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183361 + ... + 183551.

It is an arithmetic number, because the mean of its divisors is an integer number (580944).

Almost surely, 2^35040096 is an apocalyptic number.

35040096 is a gapful number since it is divisible by the number (36) 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 35040096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62741952).

35040096 is an abundant number, since it is smaller than the sum of its proper divisors (90443808).

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

35040096 is a wasteful number, since it uses less digits than its factorization.

35040096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 35040096 is about 5919.4675436225. The cubic root of 35040096 is about 327.2314944686.

The spelling of 35040096 in words is "thirty-five million, forty thousand, ninety-six".