354044958720 has 384 divisors, whose sum is σ = 1173548113920. Its totient is φ = 91027537920.

The previous prime is 354044958671. The next prime is 354044958727. The reversal of 354044958720 is 27859440453.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354044958727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349500934 + ... + 349501946.

It is an arithmetic number, because the mean of its divisors is an integer number (3056114880).

Almost surely, 2^354044958720 is an apocalyptic number.

354044958720 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 354044958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586774056960).

354044958720 is an abundant number, since it is smaller than the sum of its proper divisors (819503155200).

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

354044958720 is a wasteful number, since it uses less digits than its factorization.

354044958720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 354044958720 in words is "three hundred fifty-four billion, forty-four million, nine hundred fifty-eight thousand, seven hundred twenty".