349158678000 has 320 divisors, whose sum is σ = 1240705589760. Its totient is φ = 83770368000.

The previous prime is 349158677951. The next prime is 349158678061. The reversal of 349158678000 is 876851943.

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, 6374731 + ... + 6429269.

It is an arithmetic number, because the mean of its divisors is an integer number (3877204968).

Almost surely, 2^349158678000 is an apocalyptic number.

349158678000 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 349158678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620352794880).

349158678000 is an abundant number, since it is smaller than the sum of its proper divisors (891546911760).

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

349158678000 is a wasteful number, since it uses less digits than its factorization.

349158678000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54673 (or 54657 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 349158678000 in words is "three hundred forty-nine billion, one hundred fifty-eight million, six hundred seventy-eight thousand".