349423683840 has 2160 divisors, whose sum is σ = 1648388738304. Its totient is φ = 69049221120.

The previous prime is 349423683779. The next prime is 349423683841. The reversal of 349423683840 is 48386324943.

349423683840 is a `hidden beast` number, since 3 + 494 + 2 + 36 + 83 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (349423683841) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2019789994 + ... + 2019790166.

Almost surely, 2^349423683840 is an apocalyptic number.

349423683840 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 349423683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824194369152).

349423683840 is an abundant number, since it is smaller than the sum of its proper divisors (1298965054464).

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

349423683840 is a wasteful number, since it uses less digits than its factorization.

349423683840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 349423683840 in words is "three hundred forty-nine billion, four hundred twenty-three million, six hundred eighty-three thousand, eight hundred forty".