349154639672832 has 560 divisors, whose sum is σ = 1233946856727552. Its totient is φ = 96540430970880.

The previous prime is 349154639672819. The next prime is 349154639672899. The reversal of 349154639672832 is 238276936451943.

It is a happy number.

349154639672832 is a `hidden beast` number, since 3 + 4 + 9 + 1 + 5 + 463 + 96 + 72 + 8 + 3 + 2 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 78839403 + ... + 83150229.

Almost surely, 2^{349154639672832} is an apocalyptic number.

349154639672832 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 349154639672832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616973428363776).

349154639672832 is an abundant number, since it is smaller than the sum of its proper divisors (884792217054720).

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

349154639672832 is an frugal number, since it uses more digits than its factorization.

349154639672832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310901 (or 4310870 counting only the distinct ones).

The product of its digits is 1410877440, while the sum is 72.

The spelling of 349154639672832 in words is "three hundred forty-nine trillion, one hundred fifty-four billion, six hundred thirty-nine million, six hundred seventy-two thousand, eight hundred thirty-two".