354425103360 has 616 divisors, whose sum is σ = 1283087521080. Its totient is φ = 93895262208.

The previous prime is 354425103341. The next prime is 354425103401. The reversal of 354425103360 is 63301524453.

354425103360 is a `hidden beast` number, since 3 + 5 + 44 + 251 + 0 + 3 + 360 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47775744 + 354377327616 = 6912^2 + 595296^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1004036944 + ... + 1004037296.

Almost surely, 2^354425103360 is an apocalyptic number.

354425103360 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 354425103360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641543760540).

354425103360 is an abundant number, since it is smaller than the sum of its proper divisors (928662417720).

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

354425103360 is an equidigital number, since it uses as much as digits as its factorization.

354425103360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 354425103360 in words is "three hundred fifty-four billion, four hundred twenty-five million, one hundred three thousand, three hundred sixty".