3413141760 has 576 divisors, whose sum is σ = 13515909120. Its totient is φ = 716636160.

The previous prime is 3413141713. The next prime is 3413141777. The reversal of 3413141760 is 671413143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20939439 + ... + 20939601.

It is an arithmetic number, because the mean of its divisors is an integer number (23465120).

Almost surely, 2^3413141760 is an apocalyptic number.

3413141760 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 3413141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6757954560).

3413141760 is an abundant number, since it is smaller than the sum of its proper divisors (10102767360).

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

3413141760 is a wasteful number, since it uses less digits than its factorization.

3413141760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 3413141760 is about 58422.0999280238. The cubic root of 3413141760 is about 1505.6294773375.

The spelling of 3413141760 in words is "three billion, four hundred thirteen million, one hundred forty-one thousand, seven hundred sixty".