354338901472920 has 1024 divisors, whose sum is σ = 1331950846464000. Its totient is φ = 73423539044352.

The previous prime is 354338901472909. The next prime is 354338901472931. The reversal of 354338901472920 is 29274109833453.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (354338901472909) and next prime (354338901472931).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 221877833562 + ... + 221877835158.

It is an arithmetic number, because the mean of its divisors is an integer number (1300733248500).

Almost surely, 2^{354338901472920} is an apocalyptic number.

354338901472920 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 354338901472920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665975423232000).

354338901472920 is an abundant number, since it is smaller than the sum of its proper divisors (977611944991080).

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

354338901472920 is a wasteful number, since it uses less digits than its factorization.

354338901472920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 60.

The spelling of 354338901472920 in words is "three hundred fifty-four trillion, three hundred thirty-eight billion, nine hundred one million, four hundred seventy-two thousand, nine hundred twenty".