3456984960 has 512 divisors, whose sum is σ = 14394240000. Its totient is φ = 773038080.

The previous prime is 3456984953. The next prime is 3456984961. The reversal of 3456984960 is 694896543.

3456984960 is a `hidden beast` number, since 3 + 456 + 98 + 49 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3456984897 and 3456984906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3456984961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2470341 + ... + 2471739.

It is an arithmetic number, because the mean of its divisors is an integer number (28113750).

Almost surely, 2^3456984960 is an apocalyptic number.

3456984960 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 3456984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7197120000).

3456984960 is an abundant number, since it is smaller than the sum of its proper divisors (10937255040).

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

3456984960 is a wasteful number, since it uses less digits than its factorization.

3456984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 3456984960 is about 58796.1304849222. The cubic root of 3456984960 is about 1512.0488772308.

The spelling of 3456984960 in words is "three billion, four hundred fifty-six million, nine hundred eighty-four thousand, nine hundred sixty".