346940584900 has 432 divisors, whose sum is σ = 1002311129232. Its totient is φ = 102961152000.

The previous prime is 346940584889. The next prime is 346940584927. The reversal of 346940584900 is 9485049643.

It can be written as a sum of positive squares in 24 ways, for example, as 341165800836 + 5774784064 = 584094^2 + 75992^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 455900520 + ... + 455901280.

It is an arithmetic number, because the mean of its divisors is an integer number (2320164651).

Almost surely, 2^346940584900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346940584900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501155564616).

346940584900 is an abundant number, since it is smaller than the sum of its proper divisors (655370544332).

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

346940584900 is a wasteful number, since it uses less digits than its factorization.

346940584900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 346940584900 in words is "three hundred forty-six billion, nine hundred forty million, five hundred eighty-four thousand, nine hundred".