349173901440 has 3072 divisors, whose sum is σ = 1720258560000. Its totient is φ = 65213890560.

The previous prime is 349173901381. The next prime is 349173901463. The reversal of 349173901440 is 44109371943.

349173901440 is a `hidden beast` number, since 3 + 491 + 73 + 90 + 1 + 4 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11263674225 + ... + 11263674255.

It is an arithmetic number, because the mean of its divisors is an integer number (559980000).

Almost surely, 2^349173901440 is an apocalyptic number.

349173901440 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 349173901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860129280000).

349173901440 is an abundant number, since it is smaller than the sum of its proper divisors (1371084658560).

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

349173901440 is a wasteful number, since it uses less digits than its factorization.

349173901440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 349173901440 in words is "three hundred forty-nine billion, one hundred seventy-three million, nine hundred one thousand, four hundred forty".