351538467672240 has 320 divisors, whose sum is σ = 1245433959982080. Its totient is φ = 91089080893440.

The previous prime is 351538467672167. The next prime is 351538467672247. The reversal of 351538467672240 is 42276764835153.

351538467672240 is a `hidden beast` number, since 3 + 5 + 1 + 5 + 384 + 6 + 7 + 6 + 7 + 2 + 240 = 666.

It is not an unprimeable number, because it can be changed into a prime (351538467672247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8120485 + ... + 27731195.

It is an arithmetic number, because the mean of its divisors is an integer number (3891981124944).

Almost surely, 2^{351538467672240} is an apocalyptic number.

351538467672240 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 351538467672240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622716979991040).

351538467672240 is an abundant number, since it is smaller than the sum of its proper divisors (893895492309840).

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

351538467672240 is a wasteful number, since it uses less digits than its factorization.

351538467672240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19610969 (or 19610957 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 63.

The spelling of 351538467672240 in words is "three hundred fifty-one trillion, five hundred thirty-eight billion, four hundred sixty-seven million, six hundred seventy-two thousand, two hundred forty".