346961043000 has 1024 divisors, whose sum is σ = 1433598566400. Its totient is φ = 76515840000.

The previous prime is 346961042959. The next prime is 346961043001. The reversal of 346961043000 is 340169643.

346961043000 is a `hidden beast` number, since 3 + 4 + 6 + 9 + 610 + 4 + 30 + 0 + 0 = 666.

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 (346961043001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 281852385 + ... + 281853615.

It is an arithmetic number, because the mean of its divisors is an integer number (1399998600).

Almost surely, 2^346961043000 is an apocalyptic number.

346961043000 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 346961043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716799283200).

346961043000 is an abundant number, since it is smaller than the sum of its proper divisors (1086637523400).

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

346961043000 is a wasteful number, since it uses less digits than its factorization.

346961043000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 346961043000 in words is "three hundred forty-six billion, nine hundred sixty-one million, forty-three thousand".