349270871040 has 1584 divisors, whose sum is σ = 1546289847648. Its totient is φ = 72236924928.

The previous prime is 349270871039. The next prime is 349270871041. The reversal of 349270871040 is 40178072943.

349270871040 is a `hidden beast` number, since 3 + 492 + 70 + 87 + 10 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (349270871039) and next prime (349270871041).

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

It is not an unprimeable number, because it can be changed into a prime (349270871041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2142765999 + ... + 2142766161.

Almost surely, 2^349270871040 is an apocalyptic number.

349270871040 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 349270871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773144923824).

349270871040 is an abundant number, since it is smaller than the sum of its proper divisors (1197018976608).

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

349270871040 is a wasteful number, since it uses less digits than its factorization.

349270871040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 349270871040 in words is "three hundred forty-nine billion, two hundred seventy million, eight hundred seventy-one thousand, forty".