368256000 has 352 divisors, whose sum is σ = 1410170112. Its totient is φ = 83558400.

The previous prime is 368255981. The next prime is 368256001. The reversal of 368256000 is 652863.

It is a super-2 number, since 2×368256000² = 271224963072000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368256001) 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 31 ways as a sum of consecutive naturals, for example, 2687932 + ... + 2688068.

Almost surely, 2^368256000 is an apocalyptic number.

368256000 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 368256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705085056).

368256000 is an abundant number, since it is smaller than the sum of its proper divisors (1041914112).

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

368256000 is a wasteful number, since it uses less digits than its factorization.

368256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 368256000 is about 19189.9973944761. The cubic root of 368256000 is about 716.7757060219.

The spelling of 368256000 in words is "three hundred sixty-eight million, two hundred fifty-six thousand".