350478519841296 has 1920 divisors, whose sum is σ = 1391850915840000. Its totient is φ = 83167358238720.

The previous prime is 350478519841249. The next prime is 350478519841399. The reversal of 350478519841296 is 692148915874053.

350478519841296 is a `hidden beast` number, since 3 + 5 + 0 + 4 + 7 + 8 + 519 + 8 + 4 + 12 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 199248731265 + ... + 199248733023.

It is an arithmetic number, because the mean of its divisors is an integer number (724922352000).

It is a 1-persistent number, because it is pandigital, but 2⋅350478519841296 = 700957039682592 is not.

Almost surely, 2^{350478519841296} is an apocalyptic number.

350478519841296 is a gapful number since it is divisible by the number (36) 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 350478519841296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695925457920000).

350478519841296 is an abundant number, since it is smaller than the sum of its proper divisors (1041372395998704).

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

350478519841296 is a wasteful number, since it uses less digits than its factorization.

350478519841296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3402 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 350478519841296 in words is "three hundred fifty trillion, four hundred seventy-eight billion, five hundred nineteen million, eight hundred forty-one thousand, two hundred ninety-six".