349107485760 has 896 divisors, whose sum is σ = 1376647488000. Its totient is φ = 83607552000.

The previous prime is 349107485731. The next prime is 349107485767. The reversal of 349107485760 is 67584701943.

349107485760 is a `hidden beast` number, since 3 + 4 + 91 + 0 + 7 + 485 + 76 + 0 = 666.

It is a super-2 number, since 2×349107485760² (a number of 24 digits) contains 22 as substring.

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 = 349107485697 and 349107485706.

It is not an unprimeable number, because it can be changed into a prime (349107485767) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 777522016 + ... + 777522464.

Almost surely, 2^349107485760 is an apocalyptic number.

349107485760 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 349107485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688323744000).

349107485760 is an abundant number, since it is smaller than the sum of its proper divisors (1027540002240).

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

349107485760 is a wasteful number, since it uses less digits than its factorization.

349107485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 349107485760 in words is "three hundred forty-nine billion, one hundred seven million, four hundred eighty-five thousand, seven hundred sixty".