3317842944 has 440 divisors, whose sum is σ = 11359916568. Its totient is φ = 955514880.

The previous prime is 3317842883. The next prime is 3317842951. The reversal of 3317842944 is 4492487133.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 3317760000 = 288^2 + 57600^2 .

It is a super-2 number, since 2×3317842944² = 22016163602101174272, which contains 22 as substring.

Its product of digits (580608) is a multiple of the sum of its prime divisors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 3317842944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18330534 + ... + 18330714.

Almost surely, 2^3317842944 is an apocalyptic number.

3317842944 is a gapful number since it is divisible by the number (34) 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 3317842944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5679958284).

3317842944 is an abundant number, since it is smaller than the sum of its proper divisors (8042073624).

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

3317842944 is a wasteful number, since it uses less digits than its factorization.

3317842944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 216 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 3317842944 is about 57600.7199955001. The cubic root of 3317842944 is about 1491.4840316843.

The spelling of 3317842944 in words is "three billion, three hundred seventeen million, eight hundred forty-two thousand, nine hundred forty-four".