35349920897904 has 160 divisors (see below), whose sum is σ = 102018200328000. Its totient is φ = 11719381072896.

The previous prime is 35349920897903. The next prime is 35349920897909. The reversal of 35349920897904 is 40979802994353.

35349920897904 is a `hidden beast` number, since 3 + 5 + 349 + 9 + 208 + 9 + 79 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35349920897903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247496142 + ... + 247638930.

It is an arithmetic number, because the mean of its divisors is an integer number (637613752050).

Almost surely, 2^{35349920897904} 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 35349920897904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51009100164000).

35349920897904 is an abundant number, since it is smaller than the sum of its proper divisors (66668279430096).

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

35349920897904 is a wasteful number, since it uses less digits than its factorization.

35349920897904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145912 (or 145900 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 35349920897904 in words is "thirty-five trillion, three hundred forty-nine billion, nine hundred twenty million, eight hundred ninety-seven thousand, nine hundred four".