351966429360 has 480 divisors, whose sum is σ = 1508683438080. Its totient is φ = 74260675584.

The previous prime is 351966429341. The next prime is 351966429361. The reversal of 351966429360 is 63924669153.

351966429360 is a `hidden beast` number, since 3 + 519 + 6 + 64 + 2 + 9 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 351966429297 and 351966429306.

It is not an unprimeable number, because it can be changed into a prime (351966429361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1669561 + ... + 1868519.

It is an arithmetic number, because the mean of its divisors is an integer number (3143090496).

Almost surely, 2^351966429360 is an apocalyptic number.

351966429360 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 351966429360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754341719040).

351966429360 is an abundant number, since it is smaller than the sum of its proper divisors (1156717008720).

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

351966429360 is a wasteful number, since it uses less digits than its factorization.

351966429360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199007 (or 198989 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 351966429360 in words is "three hundred fifty-one billion, nine hundred sixty-six million, four hundred twenty-nine thousand, three hundred sixty".