349454746368 has 1152 divisors, whose sum is σ = 1359099750400. Its totient is φ = 87313158144.

The previous prime is 349454746337. The next prime is 349454746373. The reversal of 349454746368 is 863647454943.

349454746368 is a `hidden beast` number, since 3 + 4 + 9 + 45 + 474 + 63 + 68 = 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 (63).

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, 18392355063 + ... + 18392355081.

Almost surely, 2^349454746368 is an apocalyptic number.

349454746368 is a gapful number since it is divisible by the number (38) 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 349454746368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679549875200).

349454746368 is an abundant number, since it is smaller than the sum of its proper divisors (1009645004032).

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

349454746368 is an frugal number, since it uses more digits than its factorization.

349454746368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 44 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 63.

The spelling of 349454746368 in words is "three hundred forty-nine billion, four hundred fifty-four million, seven hundred forty-six thousand, three hundred sixty-eight".