35428345344 has 720 divisors, whose sum is σ = 126077711760. Its totient is φ = 9537454080.

The previous prime is 35428345331. The next prime is 35428345373. The reversal of 35428345344 is 44354382453.

35428345344 is a `hidden beast` number, since 35 + 4 + 2 + 83 + 4 + 534 + 4 = 666.

It is a super-4 number, since 4×35428345344⁴ (a number of 43 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 35428345344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 398071252 + ... + 398071340.

It is an arithmetic number, because the mean of its divisors is an integer number (175107933).

Almost surely, 2^35428345344 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 35428345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63038855880).

35428345344 is an abundant number, since it is smaller than the sum of its proper divisors (90649366416).

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

35428345344 is a wasteful number, since it uses less digits than its factorization.

35428345344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 185 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 45.

The spelling of 35428345344 in words is "thirty-five billion, four hundred twenty-eight million, three hundred forty-five thousand, three hundred forty-four".