354400579764 has 576 divisors, whose sum is σ = 1170987417600. Its totient is φ = 87729143040.

The previous prime is 354400579727. The next prime is 354400579781. The reversal of 354400579764 is 467975004453.

354400579764 is a `hidden beast` number, since 3 + 5 + 4 + 4 + 0 + 0 + 579 + 7 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 354400579764.

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 191 ways as a sum of consecutive naturals, for example, 1589240157 + ... + 1589240379.

Almost surely, 2^354400579764 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 354400579764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585493708800).

354400579764 is an abundant number, since it is smaller than the sum of its proper divisors (816586837836).

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

354400579764 is a wasteful number, since it uses less digits than its factorization.

354400579764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 354400579764 in words is "three hundred fifty-four billion, four hundred million, five hundred seventy-nine thousand, seven hundred sixty-four".