349190563680 has 1152 divisors, whose sum is σ = 1526360371200. Its totient is φ = 72940621824.

The previous prime is 349190563633. The next prime is 349190563721. The reversal of 349190563680 is 86365091943.

349190563680 is a `hidden beast` number, since 3 + 4 + 9 + 19 + 0 + 563 + 68 + 0 = 666.

It is a super-2 number, since 2×349190563680² (a number of 24 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 316582009 + ... + 316583111.

It is an arithmetic number, because the mean of its divisors is an integer number (1324965600).

Almost surely, 2^349190563680 is an apocalyptic number.

349190563680 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 349190563680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763180185600).

349190563680 is an abundant number, since it is smaller than the sum of its proper divisors (1177169807520).

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

349190563680 is a wasteful number, since it uses less digits than its factorization.

349190563680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 349190563680 in words is "three hundred forty-nine billion, one hundred ninety million, five hundred sixty-three thousand, six hundred eighty".