343775211063552 has 720 divisors, whose sum is σ = 1064898277322880. Its totient is φ = 110250818371584.

The previous prime is 343775211063551. The next prime is 343775211063587. The reversal of 343775211063552 is 255360112577343.

It is a happy number.

343775211063552 is a `hidden beast` number, since 3 + 4 + 3 + 7 + 7 + 5 + 21 + 1 + 0 + 63 + 552 = 666.

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 (343775211063551) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10446220474 + ... + 10446253382.

Almost surely, 2^{343775211063552} is an apocalyptic number.

343775211063552 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 343775211063552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532449138661440).

343775211063552 is an abundant number, since it is smaller than the sum of its proper divisors (721123066259328).

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

343775211063552 is a wasteful number, since it uses less digits than its factorization.

343775211063552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33180 (or 33157 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 54.

The spelling of 343775211063552 in words is "three hundred forty-three trillion, seven hundred seventy-five billion, two hundred eleven million, sixty-three thousand, five hundred fifty-two".