354230711400 has 192 divisors, whose sum is σ = 1109057587200. Its totient is φ = 93523368960.

The previous prime is 354230711383. The next prime is 354230711449. The reversal of 354230711400 is 4117032453.

It is a happy number.

It is a super-3 number, since 3×354230711400³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 38781234 + ... + 38790366.

It is an arithmetic number, because the mean of its divisors is an integer number (5776341600).

Almost surely, 2^354230711400 is an apocalyptic number.

354230711400 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 354230711400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554528793600).

354230711400 is an abundant number, since it is smaller than the sum of its proper divisors (754826875800).

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

354230711400 is a wasteful number, since it uses less digits than its factorization.

354230711400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9788 (or 9779 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

Adding to 354230711400 its reverse (4117032453), we get a palindrome (358347743853).

The spelling of 354230711400 in words is "three hundred fifty-four billion, two hundred thirty million, seven hundred eleven thousand, four hundred".