353675420352 has 168 divisors, whose sum is σ = 1069309113600. Its totient is φ = 111455958528.

The previous prime is 353675420327. The next prime is 353675420359. The reversal of 353675420352 is 253024576353.

353675420352 is a `hidden beast` number, since 3 + 53 + 6 + 7 + 542 + 0 + 3 + 52 = 666.

It is a super-2 number, since 2×353675420352² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 353675420298 and 353675420307.

It is not an unprimeable number, because it can be changed into a prime (353675420359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5296549 + ... + 5362907.

It is an arithmetic number, because the mean of its divisors is an integer number (6364935200).

Almost surely, 2^353675420352 is an apocalyptic number.

353675420352 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 353675420352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534654556800).

353675420352 is an abundant number, since it is smaller than the sum of its proper divisors (715633693248).

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

353675420352 is a wasteful number, since it uses less digits than its factorization.

353675420352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66883 (or 66870 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 45.

The spelling of 353675420352 in words is "three hundred fifty-three billion, six hundred seventy-five million, four hundred twenty thousand, three hundred fifty-two".