349714566432 has 432 divisors, whose sum is σ = 1288916883072. Its totient is φ = 88900439040.

The previous prime is 349714566367. The next prime is 349714566497. The reversal of 349714566432 is 234665417943.

349714566432 is a `hidden beast` number, since 3 + 4 + 9 + 7 + 145 + 66 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (349714566367) and next prime (349714566497).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 7271938 + ... + 7319870.

It is an arithmetic number, because the mean of its divisors is an integer number (2983603896).

Almost surely, 2^349714566432 is an apocalyptic number.

349714566432 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 349714566432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644458441536).

349714566432 is an abundant number, since it is smaller than the sum of its proper divisors (939202316640).

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

349714566432 is a wasteful number, since it uses less digits than its factorization.

349714566432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48021 (or 48003 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 349714566432 in words is "three hundred forty-nine billion, seven hundred fourteen million, five hundred sixty-six thousand, four hundred thirty-two".