35368668352 has 56 divisors (see below), whose sum is σ = 71037907200. Its totient is φ = 17469720576.

The previous prime is 35368668343. The next prime is 35368668371. The reversal of 35368668352 is 25386686353.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 35368668293 and 35368668302.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8502049 + ... + 8506207.

Almost surely, 2^35368668352 is an apocalyptic number.

35368668352 is a gapful number since it is divisible by the number (32) 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 35368668352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35518953600).

35368668352 is an abundant number, since it is smaller than the sum of its proper divisors (35669238848).

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

35368668352 is a wasteful number, since it uses less digits than its factorization.

35368668352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5753 (or 5743 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 55.

The spelling of 35368668352 in words is "thirty-five billion, three hundred sixty-eight million, six hundred sixty-eight thousand, three hundred fifty-two".