350821712640 has 576 divisors, whose sum is σ = 1352683487232. Its totient is φ = 75788697600.

The previous prime is 350821712623. The next prime is 350821712651. The reversal of 350821712640 is 46217128053.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35826145 + ... + 35835935.

It is an arithmetic number, because the mean of its divisors is an integer number (2348408832).

Almost surely, 2^350821712640 is an apocalyptic number.

350821712640 is a gapful number since it is divisible by the number (30) 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 350821712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676341743616).

350821712640 is an abundant number, since it is smaller than the sum of its proper divisors (1001861774592).

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

350821712640 is a wasteful number, since it uses less digits than its factorization.

350821712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9896 (or 9882 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 350821712640 in words is "three hundred fifty billion, eight hundred twenty-one million, seven hundred twelve thousand, six hundred forty".