354134344235100 has 288 divisors, whose sum is σ = 1203797323040256. Its totient is φ = 79244362521600.

The previous prime is 354134344235083. The next prime is 354134344235123. The reversal of 354134344235100 is 1532443431453.

It is a super-2 number, since 2×354134344235100² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1599072577 + ... + 1599294023.

It is an arithmetic number, because the mean of its divisors is an integer number (4179851816112).

Almost surely, 2^{354134344235100} is an apocalyptic number.

354134344235100 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 354134344235100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601898661520128).

354134344235100 is an abundant number, since it is smaller than the sum of its proper divisors (849662978805156).

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

354134344235100 is a wasteful number, since it uses less digits than its factorization.

354134344235100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258765 (or 258758 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

Adding to 354134344235100 its reverse (1532443431453), we get a palindrome (355666787666553).

The spelling of 354134344235100 in words is "three hundred fifty-four trillion, one hundred thirty-four billion, three hundred forty-four million, two hundred thirty-five thousand, one hundred".