354655680 has 112 divisors (see below), whose sum is σ = 1139854464. Its totient is φ = 93414400.

The previous prime is 354655669. The next prime is 354655733. The reversal of 354655680 is 86556453.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77455 + ... + 81905.

It is an arithmetic number, because the mean of its divisors is an integer number (10177272).

Almost surely, 2^354655680 is an apocalyptic number.

354655680 is a gapful number since it is divisible by the number (30) 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 354655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569927232).

354655680 is an abundant number, since it is smaller than the sum of its proper divisors (785198784).

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

354655680 is a wasteful number, since it uses less digits than its factorization.

354655680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4554 (or 4544 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The square root of 354655680 is about 18832.3041606703. The cubic root of 354655680 is about 707.8408784094.

The spelling of 354655680 in words is "three hundred fifty-four million, six hundred fifty-five thousand, six hundred eighty".