3408855480 has 384 divisors, whose sum is σ = 11976007680. Its totient is φ = 839393280.

The previous prime is 3408855403. The next prime is 3408855503. The reversal of 3408855480 is 845588043.

3408855480 is a `hidden beast` number, since 3 + 40 + 88 + 55 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 35142792 + ... + 35142888.

It is an arithmetic number, because the mean of its divisors is an integer number (31187520).

Almost surely, 2^3408855480 is an apocalyptic number.

3408855480 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 3408855480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5988003840).

3408855480 is an abundant number, since it is smaller than the sum of its proper divisors (8567152200).

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

3408855480 is a wasteful number, since it uses less digits than its factorization.

3408855480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 3408855480 is about 58385.4046830199. The cubic root of 3408855480 is about 1504.9989485024.

The spelling of 3408855480 in words is "three billion, four hundred eight million, eight hundred fifty-five thousand, four hundred eighty".