354331152 has 240 divisors, whose sum is σ = 1246795200. Its totient is φ = 95800320.

The previous prime is 354331141. The next prime is 354331157. The reversal of 354331152 is 251133453.

354331152 is a `hidden beast` number, since 3 + 543 + 3 + 115 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (354331157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401752 + ... + 402632.

It is an arithmetic number, because the mean of its divisors is an integer number (5194980).

Almost surely, 2^354331152 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 354331152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623397600).

354331152 is an abundant number, since it is smaller than the sum of its proper divisors (892464048).

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

354331152 is a wasteful number, since it uses less digits than its factorization.

354331152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 912 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 354331152 is about 18823.6859302316. The cubic root of 354331152 is about 707.6249090435.

It can be divided in two parts, 35433 and 1152, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 354331152 in words is "three hundred fifty-four million, three hundred thirty-one thousand, one hundred fifty-two".