343725633407400 has 192 divisors, whose sum is σ = 1067247551160000. Its totient is φ = 91514126376960.

The previous prime is 343725633407383. The next prime is 343725633407441. The reversal of 343725633407400 is 4704336527343.

It is a super-2 number, since 2×343725633407400² (a number of 30 digits) contains 22 as substring.

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, 4239455662 + ... + 4239536738.

It is an arithmetic number, because the mean of its divisors is an integer number (5558580995625).

Almost surely, 2^{343725633407400} is an apocalyptic number.

343725633407400 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 343725633407400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533623775580000).

343725633407400 is an abundant number, since it is smaller than the sum of its proper divisors (723521917752600).

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

343725633407400 is a wasteful number, since it uses less digits than its factorization.

343725633407400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92268 (or 92259 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 51.

The spelling of 343725633407400 in words is "three hundred forty-three trillion, seven hundred twenty-five billion, six hundred thirty-three million, four hundred seven thousand, four hundred".