354404352 has 96 divisors (see below), whose sum is σ = 971006400. Its totient is φ = 114868224.

The previous prime is 354404317. The next prime is 354404371. The reversal of 354404352 is 253404453.

354404352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226549 + ... + 228107.

It is an arithmetic number, because the mean of its divisors is an integer number (10114650).

Almost surely, 2^354404352 is an apocalyptic number.

354404352 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 354404352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485503200).

354404352 is an abundant number, since it is smaller than the sum of its proper divisors (616602048).

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

354404352 is a wasteful number, since it uses less digits than its factorization.

354404352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 354404352 is about 18825.6301886550. The cubic root of 354404352 is about 707.6736342511.

The spelling of 354404352 in words is "three hundred fifty-four million, four hundred four thousand, three hundred fifty-two".