354784968 has 128 divisors (see below), whose sum is σ = 1063756800. Its totient is φ = 109145088.

The previous prime is 354784957. The next prime is 354784973. The reversal of 354784968 is 869487453.

354784968 is a `hidden beast` number, since 3 + 547 + 8 + 4 + 96 + 8 = 666.

354784968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×354784968² = 251744747037522048, which contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 193705 + ... + 195527.

It is an arithmetic number, because the mean of its divisors is an integer number (8310600).

Almost surely, 2^354784968 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 354784968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531878400).

354784968 is an abundant number, since it is smaller than the sum of its proper divisors (708971832).

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

354784968 is a wasteful number, since it uses less digits than its factorization.

354784968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1898 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 354784968 is about 18835.7364602502. The cubic root of 354784968 is about 707.9268812740.

The spelling of 354784968 in words is "three hundred fifty-four million, seven hundred eighty-four thousand, nine hundred sixty-eight".