354106032 has 80 divisors (see below), whose sum is σ = 1069812480. Its totient is φ = 98816256.

The previous prime is 354106009. The next prime is 354106033. The reversal of 354106032 is 230601453.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 354105993 and 354106011.

It is not an unprimeable number, because it can be changed into a prime (354106033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2194 + ... + 26702.

It is an arithmetic number, because the mean of its divisors is an integer number (13372656).

Almost surely, 2^354106032 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 354106032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534906240).

354106032 is an abundant number, since it is smaller than the sum of its proper divisors (715706448).

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

354106032 is a wasteful number, since it uses less digits than its factorization.

354106032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24570 (or 24564 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 354106032 is about 18817.7052798687. The cubic root of 354106032 is about 707.4750169938.

Adding to 354106032 its reverse (230601453), we get a palindrome (584707485).

The spelling of 354106032 in words is "three hundred fifty-four million, one hundred six thousand, thirty-two".