343820053963008 has 288 divisors, whose sum is σ = 1162039878021120. Its totient is φ = 98229614561280.

The previous prime is 343820053963007. The next prime is 343820053963027. The reversal of 343820053963008 is 800369350028343.

It is a happy number.

343820053963008 is a `hidden beast` number, since 3 + 43 + 8 + 2 + 0 + 0 + 539 + 63 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (343820053963003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1085917363 + ... + 1086233933.

Almost surely, 2^{343820053963008} 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 343820053963008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581019939010560).

343820053963008 is an abundant number, since it is smaller than the sum of its proper divisors (818219824058112).

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

343820053963008 is a wasteful number, since it uses less digits than its factorization.

343820053963008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339050 (or 339030 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 343820053963008 in words is "three hundred forty-three trillion, eight hundred twenty billion, fifty-three million, nine hundred sixty-three thousand, eight".