351365581840 has 960 divisors, whose sum is σ = 1131092605440. Its totient is φ = 100236165120.

The previous prime is 351365581823. The next prime is 351365581841. The reversal of 351365581840 is 48185563153.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (351365581841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2103985437 + ... + 2103985603.

It is an arithmetic number, because the mean of its divisors is an integer number (1178221464).

Almost surely, 2^351365581840 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 351365581840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565546302720).

351365581840 is an abundant number, since it is smaller than the sum of its proper divisors (779727023600).

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

351365581840 is a wasteful number, since it uses less digits than its factorization.

351365581840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 49.

The spelling of 351365581840 in words is "three hundred fifty-one billion, three hundred sixty-five million, five hundred eighty-one thousand, eight hundred forty".