3406812480 has 224 divisors, whose sum is σ = 12651638400. Its totient is φ = 860626944.

The previous prime is 3406812469. The next prime is 3406812503. The reversal of 3406812480 is 842186043.

3406812480 is a `hidden beast` number, since 3 + 406 + 8 + 1 + 248 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 153784 + ... + 174536.

Almost surely, 2^3406812480 is an apocalyptic number.

3406812480 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 3406812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6325819200).

3406812480 is an abundant number, since it is smaller than the sum of its proper divisors (9244825920).

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

3406812480 is a wasteful number, since it uses less digits than its factorization.

3406812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20798 (or 20782 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3406812480 is about 58367.9062499247. The cubic root of 3406812480 is about 1504.6982290653.

The spelling of 3406812480 in words is "three billion, four hundred six million, eight hundred twelve thousand, four hundred eighty".