354112128 has 128 divisors (see below), whose sum is σ = 1059168000. Its totient is φ = 116453376.

The previous prime is 354112111. The next prime is 354112151. The reversal of 354112128 is 821211453.

354112128 is a `hidden beast` number, since 35 + 411 + 212 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×354112128³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272376 + ... + 273672.

It is an arithmetic number, because the mean of its divisors is an integer number (8274750).

Almost surely, 2^354112128 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 354112128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529584000).

354112128 is an abundant number, since it is smaller than the sum of its proper divisors (705055872).

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

354112128 is a wasteful number, since it uses less digits than its factorization.

354112128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1381 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 354112128 is about 18817.8672542879. The cubic root of 354112128 is about 707.4790767410.

The spelling of 354112128 in words is "three hundred fifty-four million, one hundred twelve thousand, one hundred twenty-eight".