354042052 has 72 divisors (see below), whose sum is σ = 795334680. Its totient is φ = 136604160.

The previous prime is 354042049. The next prime is 354042077. The reversal of 354042052 is 250240453.

354042052 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17172736 + 336869316 = 4144^2 + 18354^2 .

354042052 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102774 + ... + 106162.

It is an arithmetic number, because the mean of its divisors is an integer number (11046315).

Almost surely, 2^354042052 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 354042052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397667340).

354042052 is an abundant number, since it is smaller than the sum of its proper divisors (441292628).

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

354042052 is a wasteful number, since it uses less digits than its factorization.

354042052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3461 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 354042052 is about 18816.0052083326. The cubic root of 354042052 is about 707.4324054839.

The spelling of 354042052 in words is "three hundred fifty-four million, forty-two thousand, fifty-two".