1336349952 has 432 divisors, whose sum is σ = 4782960000. Its totient is φ = 357654528.

The previous prime is 1336349951. The next prime is 1336349977. The reversal of 1336349952 is 2599436331.

1336349952 is a `hidden beast` number, since 1 + 3 + 3 + 634 + 9 + 9 + 5 + 2 = 666.

Its product of digits (524880) is a multiple of the sum of its prime divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 1336349898 and 1336349907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1336349951) 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 47 ways as a sum of consecutive naturals, for example, 15015124 + ... + 15015212.

Almost surely, 2^1336349952 is an apocalyptic number.

1336349952 is a gapful number since it is divisible by the number (12) 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 1336349952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391480000).

1336349952 is an abundant number, since it is smaller than the sum of its proper divisors (3446610048).

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

1336349952 is an equidigital number, since it uses as much as digits as its factorization.

1336349952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 120 counting only the distinct ones).

The product of its digits is 524880, while the sum is 45.

The square root of 1336349952 is about 36556.1205819217. The cubic root of 1336349952 is about 1101.4718457089.

The spelling of 1336349952 in words is "one billion, three hundred thirty-six million, three hundred forty-nine thousand, nine hundred fifty-two".