3411580320 has 144 divisors (see below), whose sum is σ = 11861943912. Its totient is φ = 892569600.

The previous prime is 3411580313. The next prime is 3411580331. The reversal of 3411580320 is 230851143.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1865203344 + 1546376976 = 43188^2 + 39324^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3411580320² = 23277760559622604800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53970 + ... + 98670.

Almost surely, 2^3411580320 is an apocalyptic number.

3411580320 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 3411580320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5930971956).

3411580320 is an abundant number, since it is smaller than the sum of its proper divisors (8450363592).

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

3411580320 is a wasteful number, since it uses less digits than its factorization.

3411580320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44775 (or 44764 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3411580320 is about 58408.7349631885. The cubic root of 3411580320 is about 1505.3998444606.

The spelling of 3411580320 in words is "three billion, four hundred eleven million, five hundred eighty thousand, three hundred twenty".