354055680 has 360 divisors, whose sum is σ = 1358413056. Its totient is φ = 85155840.

The previous prime is 354055661. The next prime is 354055687. The reversal of 354055680 is 86550453.

354055680 is a `hidden beast` number, since 3 + 540 + 55 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354055687) 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 35 ways as a sum of consecutive naturals, for example, 2787777 + ... + 2787903.

Almost surely, 2^354055680 is an apocalyptic number.

354055680 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 354055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679206528).

354055680 is an abundant number, since it is smaller than the sum of its proper divisors (1004357376).

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

354055680 is a wasteful number, since it uses less digits than its factorization.

354055680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 354055680 is about 18816.3673433530. The cubic root of 354055680 is about 707.4414823390.

The spelling of 354055680 in words is "three hundred fifty-four million, fifty-five thousand, six hundred eighty".