349186368000 has 640 divisors, whose sum is σ = 1224410204160. Its totient is φ = 88116019200.

The previous prime is 349186367969. The next prime is 349186368017. The reversal of 349186368000 is 863681943.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×349186368000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 472511631 + ... + 472512369.

It is an arithmetic number, because the mean of its divisors is an integer number (1913140944).

Almost surely, 2^349186368000 is an apocalyptic number.

349186368000 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 349186368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612205102080).

349186368000 is an abundant number, since it is smaller than the sum of its proper divisors (875223836160).

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

349186368000 is a wasteful number, since it uses less digits than its factorization.

349186368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 349186368000 in words is "three hundred forty-nine billion, one hundred eighty-six million, three hundred sixty-eight thousand".