354232485684 has 720 divisors, whose sum is σ = 1255130405760. Its totient is φ = 84988569600.

The previous prime is 354232485679. The next prime is 354232485701. The reversal of 354232485684 is 486584232453.

354232485684 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 32 + 48 + 568 + 4 = 666.

It is a super-3 number, since 3×354232485684³ (a number of 36 digits) contains 333 as substring.

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 354232485684.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 213778584 + ... + 213780240.

Almost surely, 2^354232485684 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 354232485684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627565202880).

354232485684 is an abundant number, since it is smaller than the sum of its proper divisors (900897920076).

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

354232485684 is a wasteful number, since it uses less digits than its factorization.

354232485684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1740 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 54.

The spelling of 354232485684 in words is "three hundred fifty-four billion, two hundred thirty-two million, four hundred eighty-five thousand, six hundred eighty-four".