352135836 has 180 divisors, whose sum is σ = 1023006600. Its totient is φ = 105535872.

The previous prime is 352135829. The next prime is 352135837. The reversal of 352135836 is 638531253.

It is a super-3 number, since 3×352135836³ (a number of 27 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 352135836.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352135837) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3230550 + ... + 3230658.

It is an arithmetic number, because the mean of its divisors is an integer number (5683370).

Almost surely, 2^352135836 is an apocalyptic number.

352135836 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352135836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511503300).

352135836 is an abundant number, since it is smaller than the sum of its proper divisors (670870764).

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

352135836 is a wasteful number, since it uses less digits than its factorization.

352135836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 186 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 352135836 is about 18765.2827316830. The cubic root of 352135836 is about 706.1604789448.

The spelling of 352135836 in words is "three hundred fifty-two million, one hundred thirty-five thousand, eight hundred thirty-six".