35348288052 has 384 divisors, whose sum is σ = 108329066496. Its totient is φ = 8781696000.

The previous prime is 35348288039. The next prime is 35348288119. The reversal of 35348288052 is 25088284353.

It is a super-3 number, since 3×35348288052³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 35348287992 and 35348288010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 484223088 + ... + 484223160.

It is an arithmetic number, because the mean of its divisors is an integer number (282106944).

Almost surely, 2^35348288052 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 35348288052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54164533248).

35348288052 is an abundant number, since it is smaller than the sum of its proper divisors (72980778444).

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

35348288052 is a wasteful number, since it uses less digits than its factorization.

35348288052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 35348288052 in words is "thirty-five billion, three hundred forty-eight million, two hundred eighty-eight thousand, fifty-two".