350686775134080 has 3840 divisors, whose sum is σ = 1634072261310720. Its totient is φ = 70829531136000.

The previous prime is 350686775133887. The next prime is 350686775134097. The reversal of 350686775134080 is 80431577686053.

It is a happy number.

350686775134080 is a `hidden beast` number, since 3 + 5 + 0 + 6 + 8 + 6 + 77 + 513 + 40 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 350686775133999 and 350686775134017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 507506186535 + ... + 507506187225.

It is an arithmetic number, because the mean of its divisors is an integer number (425539651383).

Almost surely, 2^{350686775134080} is an apocalyptic number.

350686775134080 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 350686775134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817036130655360).

350686775134080 is an abundant number, since it is smaller than the sum of its proper divisors (1283385486176640).

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

350686775134080 is a wasteful number, since it uses less digits than its factorization.

350686775134080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 350686775134080 in words is "three hundred fifty trillion, six hundred eighty-six billion, seven hundred seventy-five million, one hundred thirty-four thousand, eighty".