35300341120 has 256 divisors, whose sum is σ = 96510735360. Its totient is φ = 12221440000.

The previous prime is 35300341117. The next prime is 35300341127. The reversal of 35300341120 is 2114300353.

It is a super-2 number, since 2×35300341120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 35300341091 and 35300341100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35300341127) 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 31 ways as a sum of consecutive naturals, for example, 50356770 + ... + 50357470.

It is an arithmetic number, because the mean of its divisors is an integer number (376995060).

Almost surely, 2^35300341120 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 35300341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48255367680).

35300341120 is an abundant number, since it is smaller than the sum of its proper divisors (61210394240).

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

35300341120 is a wasteful number, since it uses less digits than its factorization.

35300341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 35300341120 its reverse (2114300353), we get a palindrome (37414641473).

The spelling of 35300341120 in words is "thirty-five billion, three hundred million, three hundred forty-one thousand, one hundred twenty".