350305920823680 has 256 divisors, whose sum is σ = 1257662243102400. Its totient is φ = 92135255556096.

The previous prime is 350305920823667. The next prime is 350305920823687. The reversal of 350305920823680 is 86328029503053.

350305920823680 is a `hidden beast` number, since 3 + 5 + 0 + 305 + 9 + 20 + 8 + 236 + 80 = 666.

It is a super-2 number, since 2×350305920823680² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350305920823687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137590159 + ... + 140113038.

Almost surely, 2^{350305920823680} is an apocalyptic number.

350305920823680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

350305920823680 is an abundant number, since it is smaller than the sum of its proper divisors (907356322278720).

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

350305920823680 is a wasteful number, since it uses less digits than its factorization.

350305920823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277703298 (or 277703280 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 350305920823680 in words is "three hundred fifty trillion, three hundred five billion, nine hundred twenty million, eight hundred twenty-three thousand, six hundred eighty".