3400656480 has 384 divisors, whose sum is σ = 13496716800. Its totient is φ = 792778752.

The previous prime is 3400656451. The next prime is 3400656517. The reversal of 3400656480 is 846560043.

3400656480 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 6 + 5 + 648 + 0 = 666.

It is a super-3 number, since 3×3400656480³ (a number of 30 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 1065447 + ... + 1068633.

It is an arithmetic number, because the mean of its divisors is an integer number (35147700).

Almost surely, 2^3400656480 is an apocalyptic number.

3400656480 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 3400656480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6748358400).

3400656480 is an abundant number, since it is smaller than the sum of its proper divisors (10096060320).

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

3400656480 is a wasteful number, since it uses less digits than its factorization.

3400656480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3243 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3400656480 is about 58315.1479463098. The cubic root of 3400656480 is about 1503.7913689405.

The spelling of 3400656480 in words is "three billion, four hundred million, six hundred fifty-six thousand, four hundred eighty".