349870510080 has 1664 divisors, whose sum is σ = 1624884710400. Its totient is φ = 69306679296.

The previous prime is 349870510079. The next prime is 349870510081. The reversal of 349870510080 is 80015078943.

349870510080 is a `hidden beast` number, since 3 + 498 + 70 + 5 + 10 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (349870510079) and next prime (349870510081).

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349870510081) 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, 855428916 + ... + 855429324.

Almost surely, 2^349870510080 is an apocalyptic number.

349870510080 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 349870510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812442355200).

349870510080 is an abundant number, since it is smaller than the sum of its proper divisors (1275014200320).

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

349870510080 is a wasteful number, since it uses less digits than its factorization.

349870510080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 349870510080 in words is "three hundred forty-nine billion, eight hundred seventy million, five hundred ten thousand, eighty".