3408471360 has 672 divisors, whose sum is σ = 14301947520. Its totient is φ = 761757696.

The previous prime is 3408471331. The next prime is 3408471371. The reversal of 3408471360 is 631748043.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35138832 + ... + 35138928.

It is an arithmetic number, because the mean of its divisors is an integer number (21282660).

Almost surely, 2^3408471360 is an apocalyptic number.

3408471360 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 3408471360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7150973760).

3408471360 is an abundant number, since it is smaller than the sum of its proper divisors (10893476160).

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

3408471360 is a wasteful number, since it uses less digits than its factorization.

3408471360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3408471360 is about 58382.1150695999. The cubic root of 3408471360 is about 1504.9424171226.

The spelling of 3408471360 in words is "three billion, four hundred eight million, four hundred seventy-one thousand, three hundred sixty".