35285030352 has 320 divisors, whose sum is σ = 119595678720. Its totient is φ = 9819532800.

The previous prime is 35285030351. The next prime is 35285030383. The reversal of 35285030352 is 25303058253.

35285030352 is a `hidden beast` number, since 3 + 528 + 50 + 30 + 3 + 52 = 666.

It is a super-2 number, since 2×35285030352² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35285030351) 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 63 ways as a sum of consecutive naturals, for example, 13033383 + ... + 13036089.

It is an arithmetic number, because the mean of its divisors is an integer number (373736496).

Almost surely, 2^35285030352 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 35285030352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59797839360).

35285030352 is an abundant number, since it is smaller than the sum of its proper divisors (84310648368).

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

35285030352 is a wasteful number, since it uses less digits than its factorization.

35285030352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 35285030352 in words is "thirty-five billion, two hundred eighty-five million, thirty thousand, three hundred fifty-two".