354282362720 has 192 divisors, whose sum is σ = 988763630400. Its totient is φ = 118261555200.

The previous prime is 354282362699. The next prime is 354282362801. The reversal of 354282362720 is 27263282453.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4098506 + ... + 4184054.

It is an arithmetic number, because the mean of its divisors is an integer number (5149810575).

Almost surely, 2^354282362720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354282362720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494381815200).

354282362720 is an abundant number, since it is smaller than the sum of its proper divisors (634481267680).

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

354282362720 is a wasteful number, since it uses less digits than its factorization.

354282362720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85769 (or 85761 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 44.

The spelling of 354282362720 in words is "three hundred fifty-four billion, two hundred eighty-two million, three hundred sixty-two thousand, seven hundred twenty".