354620768382 has 96 divisors (see below), whose sum is σ = 823566463200. Its totient is φ = 110078981376.

The previous prime is 354620768351. The next prime is 354620768387. The reversal of 354620768382 is 283867026453.

354620768382 is a `hidden beast` number, since 3 + 5 + 4 + 620 + 7 + 6 + 8 + 3 + 8 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354620768387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1523668 + ... + 1740920.

It is an arithmetic number, because the mean of its divisors is an integer number (8578817325).

Almost surely, 2^354620768382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354620768382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411783231600).

354620768382 is an abundant number, since it is smaller than the sum of its proper divisors (468945694818).

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

354620768382 is a wasteful number, since it uses less digits than its factorization.

354620768382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217402 (or 217399 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 354620768382 in words is "three hundred fifty-four billion, six hundred twenty million, seven hundred sixty-eight thousand, three hundred eighty-two".