350350537680 has 960 divisors, whose sum is σ = 1443122134272. Its totient is φ = 77874462720.

The previous prime is 350350537631. The next prime is 350350537739. The reversal of 350350537680 is 86735053053.

350350537680 is a `hidden beast` number, since 3 + 5 + 0 + 3 + 50 + 537 + 68 + 0 = 666.

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

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 536524234 + ... + 536524886.

Almost surely, 2^350350537680 is an apocalyptic number.

350350537680 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 350350537680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721561067136).

350350537680 is an abundant number, since it is smaller than the sum of its proper divisors (1092771596592).

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

350350537680 is a wasteful number, since it uses less digits than its factorization.

350350537680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 350350537680 in words is "three hundred fifty billion, three hundred fifty million, five hundred thirty-seven thousand, six hundred eighty".