354035221400 has 288 divisors, whose sum is σ = 982973335680. Its totient is φ = 118169856000.

The previous prime is 354035221387. The next prime is 354035221411. The reversal of 354035221400 is 4122530453.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 346752890 + ... + 346753910.

It is an arithmetic number, because the mean of its divisors is an integer number (3413101860).

Almost surely, 2^354035221400 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 354035221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491486667840).

354035221400 is an abundant number, since it is smaller than the sum of its proper divisors (628938114280).

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

354035221400 is a wasteful number, since it uses less digits than its factorization.

354035221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 354035221400 its reverse (4122530453), we get a palindrome (358157751853).

The spelling of 354035221400 in words is "three hundred fifty-four billion, thirty-five million, two hundred twenty-one thousand, four hundred".