349464960000 has 990 divisors, whose sum is σ = 1369196623080. Its totient is φ = 85782528000.

The previous prime is 349464959981. The next prime is 349464960043. The reversal of 349464960000 is 69464943.

It is a happy number.

349464960000 is a `hidden beast` number, since 34 + 9 + 4 + 6 + 4 + 9 + 600 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 973439821 + ... + 973440179.

It is an arithmetic number, because the mean of its divisors is an integer number (1383026892).

Almost surely, 2^349464960000 is an apocalyptic number.

349464960000 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 349464960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684598311540).

349464960000 is an abundant number, since it is smaller than the sum of its proper divisors (1019731663080).

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

349464960000 is a wasteful number, since it uses less digits than its factorization.

349464960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 349464960000 in words is "three hundred forty-nine billion, four hundred sixty-four million, nine hundred sixty thousand".