3374991360 has 480 divisors, whose sum is σ = 13069176120. Its totient is φ = 828112896.

The previous prime is 3374991349. The next prime is 3374991391. The reversal of 3374991360 is 631994733.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 949625856 + 2425365504 = 30816^2 + 49248^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3374991360² = 22781133360149299200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 10782564 + ... + 10782876.

Almost surely, 2^3374991360 is an apocalyptic number.

3374991360 is a gapful number since it is divisible by the number (30) 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 3374991360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6534588060).

3374991360 is an abundant number, since it is smaller than the sum of its proper divisors (9694184760).

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

3374991360 is a wasteful number, since it uses less digits than its factorization.

3374991360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The square root of 3374991360 is about 58094.6758317834. The cubic root of 3374991360 is about 1499.9987199989.

The spelling of 3374991360 in words is "three billion, three hundred seventy-four million, nine hundred ninety-one thousand, three hundred sixty".