349715741760 has 1344 divisors, whose sum is σ = 1592267397120. Its totient is φ = 70195507200.

The previous prime is 349715741759. The next prime is 349715741801. The reversal of 349715741760 is 67147517943.

349715741760 is a `hidden beast` number, since 3 + 4 + 9 + 7 + 1 + 574 + 1 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×349715741760² (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 = 349715741697 and 349715741706.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 639333807 + ... + 639334353.

Almost surely, 2^349715741760 is an apocalyptic number.

349715741760 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 349715741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796133698560).

349715741760 is an abundant number, since it is smaller than the sum of its proper divisors (1242551655360).

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

349715741760 is a wasteful number, since it uses less digits than its factorization.

349715741760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 349715741760 in words is "three hundred forty-nine billion, seven hundred fifteen million, seven hundred forty-one thousand, seven hundred sixty".