1336428072 has 384 divisors, whose sum is σ = 4670265600. Its totient is φ = 349360128.

The previous prime is 1336428059. The next prime is 1336428097. The reversal of 1336428072 is 2708246331.

It is a happy number.

1336428072 is a `hidden beast` number, since 1 + 3 + 3 + 642 + 8 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 12260754 + ... + 12260862.

It is an arithmetic number, because the mean of its divisors is an integer number (12162150).

Almost surely, 2^1336428072 is an apocalyptic number.

1336428072 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 1336428072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335132800).

1336428072 is an abundant number, since it is smaller than the sum of its proper divisors (3333837528).

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

1336428072 is a wasteful number, since it uses less digits than its factorization.

1336428072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1336428072 is about 36557.1890604297. The cubic root of 1336428072 is about 1101.4933084761.

The spelling of 1336428072 in words is "one billion, three hundred thirty-six million, four hundred twenty-eight thousand, seventy-two".