364903968 has 192 divisors, whose sum is σ = 1185408000. Its totient is φ = 96629760.

The previous prime is 364903961. The next prime is 364903969. The reversal of 364903968 is 869309463.

364903968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (364903961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260133 + ... + 261531.

It is an arithmetic number, because the mean of its divisors is an integer number (6174000).

Almost surely, 2^364903968 is an apocalyptic number.

364903968 is a gapful number since it is divisible by the number (38) 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 364903968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592704000).

364903968 is an abundant number, since it is smaller than the sum of its proper divisors (820504032).

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

364903968 is a wasteful number, since it uses less digits than its factorization.

364903968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The square root of 364903968 is about 19102.4597369030. The cubic root of 364903968 is about 714.5942686432.

The spelling of 364903968 in words is "three hundred sixty-four million, nine hundred three thousand, nine hundred sixty-eight".