355875660 has 192 divisors, whose sum is σ = 1306583040. Its totient is φ = 78693120.

The previous prime is 355875631. The next prime is 355875673. The reversal of 355875660 is 66578553.

355875660 is a `hidden beast` number, since 3 + 5 + 5 + 87 + 566 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115662 + ... + 118698.

It is an arithmetic number, because the mean of its divisors is an integer number (6805120).

Almost surely, 2^355875660 is an apocalyptic number.

355875660 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 355875660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653291520).

355875660 is an abundant number, since it is smaller than the sum of its proper divisors (950707380).

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

355875660 is a wasteful number, since it uses less digits than its factorization.

355875660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 355875660 is about 18864.6669729418. Note that the first 3 decimals coincide. The cubic root of 355875660 is about 708.6515834343.

The spelling of 355875660 in words is "three hundred fifty-five million, eight hundred seventy-five thousand, six hundred sixty".