3413313120 has 192 divisors, whose sum is σ = 12321662976. Its totient is φ = 778045440.

The previous prime is 3413313077. The next prime is 3413313131. The reversal of 3413313120 is 213133143.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1446982 + ... + 1449338.

It is an arithmetic number, because the mean of its divisors is an integer number (64175328).

Almost surely, 2^3413313120 is an apocalyptic number.

3413313120 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 3413313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6160831488).

3413313120 is an abundant number, since it is smaller than the sum of its proper divisors (8908349856).

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

3413313120 is a wasteful number, since it uses less digits than its factorization.

3413313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 3413313120 is about 58423.5664779205. The cubic root of 3413313120 is about 1505.6546740983.

Adding to 3413313120 its reverse (213133143), we get a palindrome (3626446263).

The spelling of 3413313120 in words is "three billion, four hundred thirteen million, three hundred thirteen thousand, one hundred twenty".