3460063872 has 128 divisors (see below), whose sum is σ = 9422645760. Its totient is φ = 1124544512.

The previous prime is 3460063861. The next prime is 3460063931. The reversal of 3460063872 is 2783600643.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 3460063872.

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 15 ways as a sum of consecutive naturals, for example, 4008913 + ... + 4009775.

It is an arithmetic number, because the mean of its divisors is an integer number (73614420).

Almost surely, 2^3460063872 is an apocalyptic number.

3460063872 is a gapful number since it is divisible by the number (32) 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 3460063872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4711322880).

3460063872 is an abundant number, since it is smaller than the sum of its proper divisors (5962581888).

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

3460063872 is a wasteful number, since it uses less digits than its factorization.

3460063872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 3460063872 is about 58822.3076051935. The cubic root of 3460063872 is about 1512.4976386093.

The spelling of 3460063872 in words is "three billion, four hundred sixty million, sixty-three thousand, eight hundred seventy-two".