355968000 has 352 divisors, whose sum is σ = 1328421120. Its totient is φ = 94003200.

The previous prime is 355967999. The next prime is 355968013. The reversal of 355968000 is 869553.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3455949 + ... + 3456051.

Almost surely, 2^355968000 is an apocalyptic number.

355968000 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 355968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664210560).

355968000 is an abundant number, since it is smaller than the sum of its proper divisors (972453120).

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

355968000 is a wasteful number, since it uses less digits than its factorization.

355968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 355968000 is about 18867.1142467522. The cubic root of 355968000 is about 708.7128700349.

The spelling of 355968000 in words is "three hundred fifty-five million, nine hundred sixty-eight thousand".