347984357952 has 448 divisors, whose sum is σ = 1210694860800. Its totient is φ = 85459691520.

The previous prime is 347984357911. The next prime is 347984357957. The reversal of 347984357952 is 259753489743.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×347984357952² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (347984357957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201963363 + ... + 201965085.

Almost surely, 2^347984357952 is an apocalyptic number.

347984357952 is a gapful number since it is divisible by the number (32) 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 347984357952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605347430400).

347984357952 is an abundant number, since it is smaller than the sum of its proper divisors (862710502848).

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

347984357952 is a wasteful number, since it uses less digits than its factorization.

347984357952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2484 counting only the distinct ones).

The product of its digits is 228614400, while the sum is 66.

The spelling of 347984357952 in words is "three hundred forty-seven billion, nine hundred eighty-four million, three hundred fifty-seven thousand, nine hundred fifty-two".