346479705000 has 960 divisors, whose sum is σ = 1438113156480. Its totient is φ = 74131200000.

The previous prime is 346479704971. The next prime is 346479705067. The reversal of 346479705000 is 507974643.

346479705000 is a `hidden beast` number, since 3 + 4 + 6 + 4 + 79 + 70 + 500 + 0 = 666.

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 239 ways as a sum of consecutive naturals, for example, 148003830 + ... + 148006170.

It is an arithmetic number, because the mean of its divisors is an integer number (1498034538).

Almost surely, 2^346479705000 is an apocalyptic number.

346479705000 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 346479705000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719056578240).

346479705000 is an abundant number, since it is smaller than the sum of its proper divisors (1091633451480).

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

346479705000 is a wasteful number, since it uses less digits than its factorization.

346479705000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 346479705000 in words is "three hundred forty-six billion, four hundred seventy-nine million, seven hundred five thousand".