3384276480 has 240 divisors, whose sum is σ = 12623410800. Its totient is φ = 832978944.

The previous prime is 3384276461. The next prime is 3384276503. The reversal of 3384276480 is 846724833.

3384276480 is a `hidden beast` number, since 338 + 4 + 276 + 48 + 0 = 666.

3384276480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3384276480² = 22906654586162380800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 293871 + ... + 305169.

It is an arithmetic number, because the mean of its divisors is an integer number (52597545).

Almost surely, 2^3384276480 is an apocalyptic number.

3384276480 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 3384276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6311705400).

3384276480 is an abundant number, since it is smaller than the sum of its proper divisors (9239134320).

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

3384276480 is a wasteful number, since it uses less digits than its factorization.

3384276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11341 (or 11322 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 3384276480 is about 58174.5346350102. The cubic root of 3384276480 is about 1501.3730361310.

The spelling of 3384276480 in words is "three billion, three hundred eighty-four million, two hundred seventy-six thousand, four hundred eighty".