3302806938432 has 224 divisors, whose sum is σ = 9269033349120. Its totient is φ = 1035020851200.

The previous prime is 3302806938421. The next prime is 3302806938437. The reversal of 3302806938432 is 2348396082033.

It is a super-2 number, since 2×3302806938432² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3302806938437) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 668176153 + ... + 668181095.

Almost surely, 2^{3302806938432} is an apocalyptic number.

3302806938432 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 3302806938432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4634516674560).

3302806938432 is an abundant number, since it is smaller than the sum of its proper divisors (5966226410688).

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

3302806938432 is a wasteful number, since it uses less digits than its factorization.

3302806938432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6341 (or 6331 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 51.

The spelling of 3302806938432 in words is "three trillion, three hundred two billion, eight hundred six million, nine hundred thirty-eight thousand, four hundred thirty-two".