354048032 has 48 divisors (see below), whose sum is σ = 761285952. Its totient is φ = 161091840.

The previous prime is 354047971. The next prime is 354048049. The reversal of 354048032 is 230840453.

354048032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 354047986 and 354048004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23543 + ... + 35529.

It is an arithmetic number, because the mean of its divisors is an integer number (15860124).

Almost surely, 2^354048032 is an apocalyptic number.

354048032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354048032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380642976).

354048032 is an abundant number, since it is smaller than the sum of its proper divisors (407237920).

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

354048032 is a wasteful number, since it uses less digits than its factorization.

354048032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12081 (or 12073 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 354048032 is about 18816.1641149305. The cubic root of 354048032 is about 707.4363884590.

Adding to 354048032 its reverse (230840453), we get a palindrome (584888485).

The spelling of 354048032 in words is "three hundred fifty-four million, forty-eight thousand, thirty-two".