353646072736 has 72 divisors (see below), whose sum is σ = 769566238560. Its totient is φ = 159849866880.

The previous prime is 353646072733. The next prime is 353646072757. The reversal of 353646072736 is 637270646353.

It is not an unprimeable number, because it can be changed into a prime (353646072733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 437965 + ... + 948211.

It is an arithmetic number, because the mean of its divisors is an integer number (10688419980).

Almost surely, 2^353646072736 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 353646072736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384783119280).

353646072736 is an abundant number, since it is smaller than the sum of its proper divisors (415920165824).

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

353646072736 is a wasteful number, since it uses less digits than its factorization.

353646072736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510458 (or 510439 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 52.

The spelling of 353646072736 in words is "three hundred fifty-three billion, six hundred forty-six million, seventy-two thousand, seven hundred thirty-six".