3467784960 has 216 divisors, whose sum is σ = 12443667600. Its totient is φ = 924659712.

The previous prime is 3467784953. The next prime is 3467784979. The reversal of 3467784960 is 694877643.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

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 = 3467784897 and 3467784906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305466 + ... + 316614.

Almost surely, 2^3467784960 is an apocalyptic number.

3467784960 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 3467784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6221833800).

3467784960 is an abundant number, since it is smaller than the sum of its proper divisors (8975882640).

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

3467784960 is an equidigital number, since it uses as much as digits as its factorization.

3467784960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11185 (or 11159 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 3467784960 is about 58887.9016437163. The cubic root of 3467784960 is about 1513.6218424797.

The spelling of 3467784960 in words is "three billion, four hundred sixty-seven million, seven hundred eighty-four thousand, nine hundred sixty".