3407211060 has 192 divisors, whose sum is σ = 11208637440. Its totient is φ = 764078080.

The previous prime is 3407211047. The next prime is 3407211103. The reversal of 3407211060 is 601127043.

3407211060 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3407211060.

It is a congruent number.

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, 659407 + ... + 664553.

It is an arithmetic number, because the mean of its divisors is an integer number (58378320).

Almost surely, 2^3407211060 is an apocalyptic number.

3407211060 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 3407211060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5604318720).

3407211060 is an abundant number, since it is smaller than the sum of its proper divisors (7801426380).

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

3407211060 is a wasteful number, since it uses less digits than its factorization.

3407211060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5246 (or 5244 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 3407211060 is about 58371.3205264366. The cubic root of 3407211060 is about 1504.7569074963.

The spelling of 3407211060 in words is "three billion, four hundred seven million, two hundred eleven thousand, sixty".