3369682944 has 336 divisors, whose sum is σ = 10545067260. Its totient is φ = 1074954240.

The previous prime is 3369682937. The next prime is 3369682951. The reversal of 3369682944 is 4492869633.

It is an interprime number because it is at equal distance from previous prime (3369682937) and next prime (3369682951).

It can be written as a sum of positive squares in 2 ways, for example, as 3351020544 + 18662400 = 57888^2 + 4320^2 .

It is a super-2 number, since 2×3369682944² = 22709526286169014272, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 55240674 + ... + 55240734.

Almost surely, 2^3369682944 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 3369682944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5272533630).

3369682944 is an abundant number, since it is smaller than the sum of its proper divisors (7175384316).

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

3369682944 is an frugal number, since it uses more digits than its factorization.

3369682944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 103 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The square root of 3369682944 is about 58048.9702234243. The cubic root of 3369682944 is about 1499.2118739774.

The spelling of 3369682944 in words is "three billion, three hundred sixty-nine million, six hundred eighty-two thousand, nine hundred forty-four".