349946593974432 has 1728 divisors, whose sum is σ = 1364633273203200. Its totient is φ = 87196458424320.

The previous prime is 349946593974427. The next prime is 349946593974457. The reversal of 349946593974432 is 234479395649943.

349946593974432 is a `hidden beast` number, since 3 + 4 + 9 + 9 + 4 + 6 + 5 + 93 + 97 + 4 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 35668794807 + ... + 35668804617.

It is an arithmetic number, because the mean of its divisors is an integer number (789718329400).

Almost surely, 2^{349946593974432} is an apocalyptic number.

349946593974432 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 349946593974432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682316636601600).

349946593974432 is an abundant number, since it is smaller than the sum of its proper divisors (1014686679228768).

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

349946593974432 is a wasteful number, since it uses less digits than its factorization.

349946593974432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10261 (or 10234 counting only the distinct ones).

The product of its digits is 19046845440, while the sum is 81.

The spelling of 349946593974432 in words is "three hundred forty-nine trillion, nine hundred forty-six billion, five hundred ninety-three million, nine hundred seventy-four thousand, four hundred thirty-two".