35344065240 has 384 divisors, whose sum is σ = 133240723200. Its totient is φ = 8035200000.

The previous prime is 35344065223. The next prime is 35344065241. The reversal of 35344065240 is 4256044353.

35344065240 is a `hidden beast` number, since 3 + 5 + 3 + 4 + 406 + 5 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 35344065195 and 35344065204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35344065241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7596915 + ... + 7601565.

It is an arithmetic number, because the mean of its divisors is an integer number (346981050).

Almost surely, 2^35344065240 is an apocalyptic number.

35344065240 is a gapful number since it is divisible by the number (30) 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 35344065240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66620361600).

35344065240 is an abundant number, since it is smaller than the sum of its proper divisors (97896657960).

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

35344065240 is a wasteful number, since it uses less digits than its factorization.

35344065240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4799 (or 4792 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 35344065240 in words is "thirty-five billion, three hundred forty-four million, sixty-five thousand, two hundred forty".