354656120 has 192 divisors, whose sum is σ = 1034208000. Its totient is φ = 108380160.

The previous prime is 354656111. The next prime is 354656123. The reversal of 354656120 is 21656453.

354656120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354656123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 789656 + ... + 790104.

It is an arithmetic number, because the mean of its divisors is an integer number (5386500).

Almost surely, 2^354656120 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 354656120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517104000).

354656120 is an abundant number, since it is smaller than the sum of its proper divisors (679551880).

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

354656120 is a wasteful number, since it uses less digits than its factorization.

354656120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 354656120 is about 18832.3158427210. The cubic root of 354656120 is about 707.8411711345.

The spelling of 354656120 in words is "three hundred fifty-four million, six hundred fifty-six thousand, one hundred twenty".