354240320352 has 48 divisors (see below), whose sum is σ = 941651504640. Its totient is φ = 116585419392.

The previous prime is 354240320339. The next prime is 354240320363. The reversal of 354240320352 is 253023042453.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×354240320352³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23346868 + ... + 23362035.

It is an arithmetic number, because the mean of its divisors is an integer number (19617739680).

Almost surely, 2^354240320352 is an apocalyptic number.

354240320352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

354240320352 is an abundant number, since it is smaller than the sum of its proper divisors (587411184288).

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

354240320352 is a wasteful number, since it uses less digits than its factorization.

354240320352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46708995 (or 46708987 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 33.

The spelling of 354240320352 in words is "three hundred fifty-four billion, two hundred forty million, three hundred twenty thousand, three hundred fifty-two".