351282072960 has 1536 divisors, whose sum is σ = 1564366003200. Its totient is φ = 70660325376.

The previous prime is 351282072949. The next prime is 351282072971. The reversal of 351282072960 is 69270282153.

351282072960 is a `hidden beast` number, since 3 + 512 + 8 + 2 + 0 + 72 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (351282072949) and next prime (351282072971).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1144241127 + ... + 1144241433.

It is an arithmetic number, because the mean of its divisors is an integer number (1018467450).

Almost surely, 2^351282072960 is an apocalyptic number.

351282072960 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 351282072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782183001600).

351282072960 is an abundant number, since it is smaller than the sum of its proper divisors (1213083930240).

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

351282072960 is a wasteful number, since it uses less digits than its factorization.

351282072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 351282072960 in words is "three hundred fifty-one billion, two hundred eighty-two million, seventy-two thousand, nine hundred sixty".