354401334100 has 288 divisors, whose sum is σ = 926202719232. Its totient is φ = 116198400000.

The previous prime is 354401334073. The next prime is 354401334101. The reversal of 354401334100 is 1433104453.

It is a super-2 number, since 2×354401334100² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354401334101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58546674 + ... + 58552726.

It is an arithmetic number, because the mean of its divisors is an integer number (3215981664).

Almost surely, 2^354401334100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354401334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463101359616).

354401334100 is an abundant number, since it is smaller than the sum of its proper divisors (571801385132).

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

354401334100 is a wasteful number, since it uses less digits than its factorization.

354401334100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6227 (or 6220 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 354401334100 its reverse (1433104453), we get a palindrome (355834438553).

The spelling of 354401334100 in words is "three hundred fifty-four billion, four hundred one million, three hundred thirty-four thousand, one hundred".