364348992 has 112 divisors (see below), whose sum is σ = 1106058240. Its totient is φ = 103690752.

The previous prime is 364348987. The next prime is 364348993. The reversal of 364348992 is 299843463.

It is a tau number, because it is divible by the number of its divisors (112).

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 (364348993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 562813 + ... + 563459.

It is an arithmetic number, because the mean of its divisors is an integer number (9875520).

Almost surely, 2^364348992 is an apocalyptic number.

364348992 is a gapful number since it is divisible by the number (32) 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 364348992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553029120).

364348992 is an abundant number, since it is smaller than the sum of its proper divisors (741709248).

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

364348992 is a wasteful number, since it uses less digits than its factorization.

364348992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1078 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 48.

The square root of 364348992 is about 19087.9279126887. The cubic root of 364348992 is about 714.2318135632.

The spelling of 364348992 in words is "three hundred sixty-four million, three hundred forty-eight thousand, nine hundred ninety-two".