3352784736 has 96 divisors (see below), whose sum is σ = 10090725120. Its totient is φ = 954855936.

The previous prime is 3352784723. The next prime is 3352784741. The reversal of 3352784736 is 6374872533.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3352784736² = 22482330971909179392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205155 + ... + 220893.

It is an arithmetic number, because the mean of its divisors is an integer number (105111720).

Almost surely, 2^3352784736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3352784736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045362560).

3352784736 is an abundant number, since it is smaller than the sum of its proper divisors (6737940384).

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

3352784736 is a wasteful number, since it uses less digits than its factorization.

3352784736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16076 (or 16068 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 48.

The square root of 3352784736 is about 57903.2359717486. The cubic root of 3352784736 is about 1496.7016021417.

The spelling of 3352784736 in words is "three billion, three hundred fifty-two million, seven hundred eighty-four thousand, seven hundred thirty-six".