349454794752 has 544 divisors, whose sum is σ = 1200400646400. Its totient is φ = 98410954752.

The previous prime is 349454794687. The next prime is 349454794781. The reversal of 349454794752 is 257497454943.

349454794752 is a `hidden beast` number, since 3 + 4 + 94 + 5 + 4 + 79 + 475 + 2 = 666.

It is a super-3 number, since 3×349454794752³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 349454794752.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1102380898 + ... + 1102381214.

Almost surely, 2^349454794752 is an apocalyptic number.

349454794752 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 349454794752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600200323200).

349454794752 is an abundant number, since it is smaller than the sum of its proper divisors (850945851648).

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

349454794752 is an frugal number, since it uses more digits than its factorization.

349454794752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 418 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 63.

The spelling of 349454794752 in words is "three hundred forty-nine billion, four hundred fifty-four million, seven hundred ninety-four thousand, seven hundred fifty-two".