349789224960 has 672 divisors, whose sum is σ = 1425391591680. Its totient is φ = 79725330432.

The previous prime is 349789224949. The next prime is 349789224973. The reversal of 349789224960 is 69422987943.

349789224960 is a `hidden beast` number, since 3 + 49 + 7 + 89 + 22 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×349789224960³ (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 congruent number.

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, 990904144 + ... + 990904496.

It is an arithmetic number, because the mean of its divisors is an integer number (2121118440).

Almost surely, 2^349789224960 is an apocalyptic number.

349789224960 is a gapful number since it is divisible by the number (30) 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 349789224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712695795840).

349789224960 is an abundant number, since it is smaller than the sum of its proper divisors (1075602366720).

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

349789224960 is an frugal number, since it uses more digits than its factorization.

349789224960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 349789224960 in words is "three hundred forty-nine billion, seven hundred eighty-nine million, two hundred twenty-four thousand, nine hundred sixty".