349985664000 has 2816 divisors, whose sum is σ = 1677489315840. Its totient is φ = 70071091200.

The previous prime is 349985663939. The next prime is 349985664029. The reversal of 349985664000 is 466589943.

349985664000 is a `hidden beast` number, since 34 + 9 + 9 + 8 + 566 + 40 + 0 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 9459071982 + ... + 9459072018.

Almost surely, 2^349985664000 is an apocalyptic number.

349985664000 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 349985664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838744657920).

349985664000 is an abundant number, since it is smaller than the sum of its proper divisors (1327503651840).

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

349985664000 is a wasteful number, since it uses less digits than its factorization.

349985664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 349985664000 in words is "three hundred forty-nine billion, nine hundred eighty-five million, six hundred sixty-four thousand".