346814973000 has 512 divisors, whose sum is σ = 1247493312000. Its totient is φ = 89026560000.

The previous prime is 346814972957. The next prime is 346814973017. The reversal of 346814973000 is 379418643.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 501902655 + ... + 501903345.

It is an arithmetic number, because the mean of its divisors is an integer number (2436510375).

Almost surely, 2^346814973000 is an apocalyptic number.

346814973000 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 346814973000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623746656000).

346814973000 is an abundant number, since it is smaller than the sum of its proper divisors (900678339000).

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

346814973000 is a wasteful number, since it uses less digits than its factorization.

346814973000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 346814973000 in words is "three hundred forty-six billion, eight hundred fourteen million, nine hundred seventy-three thousand".