4362365952 has 264 divisors, whose sum is σ = 15157625600. Its totient is φ = 1180459008.

The previous prime is 4362365947. The next prime is 4362365981. The reversal of 4362365952 is 2595632634.

4362365952 is a `hidden beast` number, since 4 + 36 + 23 + 6 + 595 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4362365898 and 4362365907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1223949 + ... + 1227507.

Almost surely, 2^4362365952 is an apocalyptic number.

4362365952 is a gapful number since it is divisible by the number (42) 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 4362365952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7578812800).

4362365952 is an abundant number, since it is smaller than the sum of its proper divisors (10795259648).

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

4362365952 is a wasteful number, since it uses less digits than its factorization.

4362365952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3611 (or 3590 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The square root of 4362365952 is about 66048.2093019939. The cubic root of 4362365952 is about 1633.9572825738.

The spelling of 4362365952 in words is "four billion, three hundred sixty-two million, three hundred sixty-five thousand, nine hundred fifty-two".