3413378220 has 192 divisors, whose sum is σ = 11332608000. Its totient is φ = 767128320.

The previous prime is 3413378219. The next prime is 3413378249. The reversal of 3413378220 is 228733143.

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, 1254021 + ... + 1256739.

It is an arithmetic number, because the mean of its divisors is an integer number (59024000).

Almost surely, 2^3413378220 is an apocalyptic number.

3413378220 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 3413378220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5666304000).

3413378220 is an abundant number, since it is smaller than the sum of its proper divisors (7919229780).

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

3413378220 is a wasteful number, since it uses less digits than its factorization.

3413378220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 3413378220 is about 58424.1236134527. The cubic root of 3413378220 is about 1505.6642461761.

The spelling of 3413378220 in words is "three billion, four hundred thirteen million, three hundred seventy-eight thousand, two hundred twenty".