356416128 has 96 divisors (see below), whose sum is σ = 1029387060. Its totient is φ = 118370304.

The previous prime is 356416111. The next prime is 356416147. The reversal of 356416128 is 821614653.

It is a happy number.

356416128 is a `hidden beast` number, since 3 + 5 + 641 + 6 + 1 + 2 + 8 = 666.

356416128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 256256064 + 100160064 = 16008^2 + 10008^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 356416092 and 356416101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 526126 + ... + 526802.

Almost surely, 2^356416128 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 356416128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514693530).

356416128 is an abundant number, since it is smaller than the sum of its proper divisors (672970932).

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

356416128 is a wasteful number, since it uses less digits than its factorization.

356416128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1139 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 356416128 is about 18878.9864134704. The cubic root of 356416128 is about 709.0101447910.

The spelling of 356416128 in words is "three hundred fifty-six million, four hundred sixteen thousand, one hundred twenty-eight".