349365086004 has 192 divisors, whose sum is σ = 1014243213312. Its totient is φ = 92233574400.

The previous prime is 349365085991. The next prime is 349365086039. The reversal of 349365086004 is 400680563943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1490794 + ... + 1709150.

It is an arithmetic number, because the mean of its divisors is an integer number (5282516736).

Almost surely, 2^349365086004 is an apocalyptic number.

349365086004 is a gapful number since it is divisible by the number (34) 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 349365086004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507121606656).

349365086004 is an abundant number, since it is smaller than the sum of its proper divisors (664878127308).

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

349365086004 is a wasteful number, since it uses less digits than its factorization.

349365086004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218446 (or 218444 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 349365086004 in words is "three hundred forty-nine billion, three hundred sixty-five million, eighty-six thousand, four".