349344057600 has 540 divisors, whose sum is σ = 1296412802916. Its totient is φ = 92817653760.

The previous prime is 349344057581. The next prime is 349344057607. The reversal of 349344057600 is 6750443943.

349344057600 is a `hidden beast` number, since 3 + 4 + 9 + 34 + 4 + 0 + 5 + 7 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 162222061824 + 187121995776 = 402768^2 + 432576^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349344057607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 162258124 + ... + 162260276.

Almost surely, 2^349344057600 is an apocalyptic number.

349344057600 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 349344057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648206401458).

349344057600 is an abundant number, since it is smaller than the sum of its proper divisors (947068745316).

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

349344057600 is a wasteful number, since it uses less digits than its factorization.

349344057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 349344057600 in words is "three hundred forty-nine billion, three hundred forty-four million, fifty-seven thousand, six hundred".