343512852480 has 384 divisors, whose sum is σ = 1395528825600. Its totient is φ = 78516781056.

The previous prime is 343512852379. The next prime is 343512852481. The reversal of 343512852480 is 84258215343.

343512852480 is a `hidden beast` number, since 3 + 4 + 3 + 512 + 8 + 52 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (343512852481) 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 31 ways as a sum of consecutive naturals, for example, 1846614 + ... + 2024106.

It is an arithmetic number, because the mean of its divisors is an integer number (3634189650).

Almost surely, 2^343512852480 is an apocalyptic number.

343512852480 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 343512852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697764412800).

343512852480 is an abundant number, since it is smaller than the sum of its proper divisors (1052015973120).

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

343512852480 is a wasteful number, since it uses less digits than its factorization.

343512852480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177536 (or 177510 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 343512852480 in words is "three hundred forty-three billion, five hundred twelve million, eight hundred fifty-two thousand, four hundred eighty".