354342026880 has 384 divisors, whose sum is σ = 1296983301120. Its totient is φ = 88835457024.

The previous prime is 354342026873. The next prime is 354342026891. The reversal of 354342026880 is 88620243453.

354342026880 is a `hidden beast` number, since 3 + 5 + 434 + 202 + 6 + 8 + 8 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 139338889 + ... + 139341431.

It is an arithmetic number, because the mean of its divisors is an integer number (3377560680).

Almost surely, 2^354342026880 is an apocalyptic number.

354342026880 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 354342026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648491650560).

354342026880 is an abundant number, since it is smaller than the sum of its proper divisors (942641274240).

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

354342026880 is a wasteful number, since it uses less digits than its factorization.

354342026880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 354342026880 in words is "three hundred fifty-four billion, three hundred forty-two million, twenty-six thousand, eight hundred eighty".