343912642752 has 448 divisors, whose sum is σ = 1161905402880. Its totient is φ = 87397761024.

The previous prime is 343912642751. The next prime is 343912642819. The reversal of 343912642752 is 257246219343.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (343912642751) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 250481938 + ... + 250483310.

Almost surely, 2^343912642752 is an apocalyptic number.

343912642752 is a gapful number since it is divisible by the number (32) 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 343912642752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580952701440).

343912642752 is an abundant number, since it is smaller than the sum of its proper divisors (817992760128).

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

343912642752 is a wasteful number, since it uses less digits than its factorization.

343912642752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 1998 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 48.

The spelling of 343912642752 in words is "three hundred forty-three billion, nine hundred twelve million, six hundred forty-two thousand, seven hundred fifty-two".