3647996352 has 1120 divisors, whose sum is σ = 15696468480. Its totient is φ = 806215680.

The previous prime is 3647996327. The next prime is 3647996377. The reversal of 3647996352 is 2536997463.

3647996352 is a `hidden beast` number, since 36 + 479 + 96 + 3 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (3647996327) and next prime (3647996377).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 98594478 + ... + 98594514.

It is an arithmetic number, because the mean of its divisors is an integer number (14014704).

Almost surely, 2^3647996352 is an apocalyptic number.

3647996352 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 3647996352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7848234240).

3647996352 is an abundant number, since it is smaller than the sum of its proper divisors (12048472128).

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

3647996352 is a wasteful number, since it uses less digits than its factorization.

3647996352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 92 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 54.

The square root of 3647996352 is about 60398.6452828207. The cubic root of 3647996352 is about 1539.3999393771.

It can be divided in two parts, 3647 and 996352, that added together give a palindrome (999999).

The spelling of 3647996352 in words is "three billion, six hundred forty-seven million, nine hundred ninety-six thousand, three hundred fifty-two".