349545127680 has 1152 divisors, whose sum is σ = 1478869647360. Its totient is φ = 76500910080.

The previous prime is 349545127663. The next prime is 349545127703. The reversal of 349545127680 is 86721545943.

It is a happy number.

349545127680 is a `hidden beast` number, since 3 + 4 + 9 + 54 + 512 + 76 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 952438857 + ... + 952439223.

It is a 1-persistent number, because it is pandigital, but 2⋅349545127680 = 699090255360 is not.

Almost surely, 2^349545127680 is an apocalyptic number.

349545127680 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 349545127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739434823680).

349545127680 is an abundant number, since it is smaller than the sum of its proper divisors (1129324519680).

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

349545127680 is a wasteful number, since it uses less digits than its factorization.

349545127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 349545127680 in words is "three hundred forty-nine billion, five hundred forty-five million, one hundred twenty-seven thousand, six hundred eighty".