354363984 has 320 divisors, whose sum is σ = 1195756800. Its totient is φ = 100776960.

The previous prime is 354363953. The next prime is 354364001. The reversal of 354363984 is 489363453.

354363984 is a `hidden beast` number, since 3 + 5 + 4 + 3 + 639 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8643004 + ... + 8643044.

It is an arithmetic number, because the mean of its divisors is an integer number (3736740).

Almost surely, 2^354363984 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 354363984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597878400).

354363984 is an abundant number, since it is smaller than the sum of its proper divisors (841392816).

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

354363984 is a wasteful number, since it uses less digits than its factorization.

354363984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 78 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 354363984 is about 18824.5580027792. The cubic root of 354363984 is about 707.6467643271.

The spelling of 354363984 in words is "three hundred fifty-four million, three hundred sixty-three thousand, nine hundred eighty-four".