354027360960 has 2016 divisors, whose sum is σ = 1662943201920. Its totient is φ = 69657034752.

The previous prime is 354027360923. The next prime is 354027360983. The reversal of 354027360960 is 69063720453.

354027360960 is a `hidden beast` number, since 35 + 4 + 0 + 2 + 7 + 3 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3247957386 + ... + 3247957494.

It is an arithmetic number, because the mean of its divisors is an integer number (824872620).

Almost surely, 2^354027360960 is an apocalyptic number.

354027360960 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 354027360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831471600960).

354027360960 is an abundant number, since it is smaller than the sum of its proper divisors (1308915840960).

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

354027360960 is a wasteful number, since it uses less digits than its factorization.

354027360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 354027360960 in words is "three hundred fifty-four billion, twenty-seven million, three hundred sixty thousand, nine hundred sixty".