3413880580 has 192 divisors, whose sum is σ = 8575580160. Its totient is φ = 1128960000.

The previous prime is 3413880577. The next prime is 3413880583. The reversal of 3413880580 is 850883143.

It is an interprime number because it is at equal distance from previous prime (3413880577) and next prime (3413880583).

It is a super-3 number, since 3×3413880580³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3413880583) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8108770 + ... + 8109190.

It is an arithmetic number, because the mean of its divisors is an integer number (44664480).

Almost surely, 2^3413880580 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 3413880580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4287790080).

3413880580 is an abundant number, since it is smaller than the sum of its proper divisors (5161699580).

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

3413880580 is a wasteful number, since it uses less digits than its factorization.

3413880580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 3413880580 is about 58428.4227067615. The cubic root of 3413880580 is about 1505.7381073520.

The spelling of 3413880580 in words is "three billion, four hundred thirteen million, eight hundred eighty thousand, five hundred eighty".