3445968960 has 448 divisors, whose sum is σ = 14010071040. Its totient is φ = 781056000.

The previous prime is 3445968937. The next prime is 3445968971. The reversal of 3445968960 is 698695443.

3445968960 is a `hidden beast` number, since 3 + 44 + 596 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 3445968897 and 3445968906.

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, 13728835 + ... + 13729085.

It is an arithmetic number, because the mean of its divisors is an integer number (31272480).

Almost surely, 2^3445968960 is an apocalyptic number.

3445968960 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 3445968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7005035520).

3445968960 is an abundant number, since it is smaller than the sum of its proper divisors (10564102080).

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

3445968960 is a wasteful number, since it uses less digits than its factorization.

3445968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 495 counting only the distinct ones).

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

The square root of 3445968960 is about 58702.3761018240. The cubic root of 3445968960 is about 1510.4410740201.

The spelling of 3445968960 in words is "three billion, four hundred forty-five million, nine hundred sixty-eight thousand, nine hundred sixty".