343125626666400 has 288 divisors, whose sum is σ = 1240991070238080. Its totient is φ = 91498688501760.

The previous prime is 343125626666393. The next prime is 343125626666401. The reversal of 343125626666400 is 4666626521343.

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

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 (343125626666401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2248202892 + ... + 2248355508.

It is an arithmetic number, because the mean of its divisors is an integer number (4308996771660).

Almost surely, 2^{343125626666400} is an apocalyptic number.

343125626666400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343125626666400 is an abundant number, since it is smaller than the sum of its proper divisors (897865443571680).

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

343125626666400 is a wasteful number, since it uses less digits than its factorization.

343125626666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256733 (or 256714 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 343125626666400 in words is "three hundred forty-three trillion, one hundred twenty-five billion, six hundred twenty-six million, six hundred sixty-six thousand, four hundred".