349461043200 has 1152 divisors, whose sum is σ = 1389286080000. Its totient is φ = 85837086720.

The previous prime is 349461043189. The next prime is 349461043207. The reversal of 349461043200 is 2340164943.

It is a happy number.

349461043200 is a `hidden beast` number, since 3 + 4 + 9 + 4 + 610 + 4 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349461043207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 922060611 + ... + 922060989.

It is an arithmetic number, because the mean of its divisors is an integer number (1205977500).

Almost surely, 2^349461043200 is an apocalyptic number.

349461043200 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 349461043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694643040000).

349461043200 is an abundant number, since it is smaller than the sum of its proper divisors (1039825036800).

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

349461043200 is a wasteful number, since it uses less digits than its factorization.

349461043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 349461043200 in words is "three hundred forty-nine billion, four hundred sixty-one million, forty-three thousand, two hundred".