349245214752 has 96 divisors (see below), whose sum is σ = 1062088336512. Its totient is φ = 98417424384.

The previous prime is 349245214741. The next prime is 349245214817. The reversal of 349245214752 is 257412542943.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3510603 + ... + 3608714.

It is an arithmetic number, because the mean of its divisors is an integer number (11063420172).

Almost surely, 2^349245214752 is an apocalyptic number.

349245214752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

349245214752 is an abundant number, since it is smaller than the sum of its proper divisors (712843121760).

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

349245214752 is a wasteful number, since it uses less digits than its factorization.

349245214752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7119410 (or 7119402 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 48.

The spelling of 349245214752 in words is "three hundred forty-nine billion, two hundred forty-five million, two hundred fourteen thousand, seven hundred fifty-two".