353813634640 has 160 divisors (see below), whose sum is σ = 859565520000. Its totient is φ = 135272417280.

The previous prime is 353813634619. The next prime is 353813634677. The reversal of 353813634640 is 46436318353.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 151654914 + ... + 151657246.

It is an arithmetic number, because the mean of its divisors is an integer number (5372284500).

Almost surely, 2^353813634640 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 353813634640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429782760000).

353813634640 is an abundant number, since it is smaller than the sum of its proper divisors (505751885360).

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

353813634640 is a wasteful number, since it uses less digits than its factorization.

353813634640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 46.

The spelling of 353813634640 in words is "three hundred fifty-three billion, eight hundred thirteen million, six hundred thirty-four thousand, six hundred forty".