343552275466400 has 288 divisors, whose sum is σ = 1126082677845888. Its totient is φ = 98844210892800.

The previous prime is 343552275466397. The next prime is 343552275466453. The reversal of 343552275466400 is 4664572255343.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213704867 + ... + 215306466.

It is an arithmetic number, because the mean of its divisors is an integer number (3910009298076).

Almost surely, 2^{343552275466400} is an apocalyptic number.

It is an amenable number.

343552275466400 is an abundant number, since it is smaller than the sum of its proper divisors (782530402379488).

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

343552275466400 is a wasteful number, since it uses less digits than its factorization.

343552275466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429011384 (or 429011371 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 56.

The spelling of 343552275466400 in words is "three hundred forty-three trillion, five hundred fifty-two billion, two hundred seventy-five million, four hundred sixty-six thousand, four hundred".