354828432384 has 704 divisors, whose sum is σ = 1137442897920. Its totient is φ = 109048135680.

The previous prime is 354828432379. The next prime is 354828432397. The reversal of 354828432384 is 483234828453.

354828432384 is a `hidden beast` number, since 3 + 5 + 482 + 84 + 3 + 2 + 3 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 354828432384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2124721069 + ... + 2124721235.

Almost surely, 2^354828432384 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 354828432384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568721448960).

354828432384 is an abundant number, since it is smaller than the sum of its proper divisors (782614465536).

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

354828432384 is a wasteful number, since it uses less digits than its factorization.

354828432384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 307 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 54.

The spelling of 354828432384 in words is "three hundred fifty-four billion, eight hundred twenty-eight million, four hundred thirty-two thousand, three hundred eighty-four".