3319107840 has 252 divisors, whose sum is σ = 11923349004. Its totient is φ = 884846592.

The previous prime is 3319107821. The next prime is 3319107871. The reversal of 3319107840 is 487019133.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 764411904 + 2554695936 = 27648^2 + 50544^2 .

It is a super-2 number, since 2×3319107840² = 22032953707098931200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3319107795 and 3319107804.

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, 931342 + ... + 934898.

It is an arithmetic number, because the mean of its divisors is an integer number (47314877).

Almost surely, 2^3319107840 is an apocalyptic number.

3319107840 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 3319107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5961674502).

3319107840 is an abundant number, since it is smaller than the sum of its proper divisors (8604241164).

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

3319107840 is an frugal number, since it uses more digits than its factorization.

3319107840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3596 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3319107840 is about 57611.6988119601. The cubic root of 3319107840 is about 1491.6735456268.

The spelling of 3319107840 in words is "three billion, three hundred nineteen million, one hundred seven thousand, eight hundred forty".