1307672352 has 288 divisors, whose sum is σ = 4469617152. Its totient is φ = 354834432.

The previous prime is 1307672347. The next prime is 1307672363. The reversal of 1307672352 is 2532767031.

It is a tau number, because it is divible by the number of its divisors (288).

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3505638 + ... + 3506010.

It is an arithmetic number, because the mean of its divisors is an integer number (15519504).

Almost surely, 2^1307672352 is an apocalyptic number.

1307672352 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 1307672352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234808576).

1307672352 is an abundant number, since it is smaller than the sum of its proper divisors (3161944800).

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

1307672352 is a wasteful number, since it uses less digits than its factorization.

1307672352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 1307672352 is about 36161.7526123942. The cubic root of 1307672352 is about 1093.5357371987.

The spelling of 1307672352 in words is "one billion, three hundred seven million, six hundred seventy-two thousand, three hundred fifty-two".