349251637248 has 156 divisors (see below), whose sum is σ = 1046192919408. Its totient is φ = 116416880640.

The previous prime is 349251637237. The next prime is 349251637307. The reversal of 349251637248 is 842736152943.

349251637248 is a `hidden beast` number, since 3 + 4 + 92 + 516 + 37 + 2 + 4 + 8 = 666.

It is a super-2 number, since 2×349251637248² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 349251637194 and 349251637203.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 819883 + ... + 1170773.

It is an arithmetic number, because the mean of its divisors is an integer number (6706364868).

Almost surely, 2^349251637248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349251637248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523096459704).

349251637248 is an abundant number, since it is smaller than the sum of its proper divisors (696941282160).

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

349251637248 is an frugal number, since it uses more digits than its factorization.

349251637248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350930 (or 350896 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 349251637248 in words is "three hundred forty-nine billion, two hundred fifty-one million, six hundred thirty-seven thousand, two hundred forty-eight".