354340992 has 64 divisors (see below), whose sum is σ = 946152000. Its totient is φ = 117494784.

The previous prime is 354340981. The next prime is 354340997. The reversal of 354340992 is 299043453.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×354340992² = 251115077223088128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 354340992.

It is not an unprimeable number, because it can be changed into a prime (354340997) by changing a digit.

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, 74098 + ... + 78734.

It is an arithmetic number, because the mean of its divisors is an integer number (14783625).

Almost surely, 2^354340992 is an apocalyptic number.

354340992 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 354340992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473076000).

354340992 is an abundant number, since it is smaller than the sum of its proper divisors (591811008).

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

354340992 is a wasteful number, since it uses less digits than its factorization.

354340992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4853 (or 4841 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 354340992 is about 18823.9473012437. The cubic root of 354340992 is about 707.6314593798.

The spelling of 354340992 in words is "three hundred fifty-four million, three hundred forty thousand, nine hundred ninety-two".