3480056064 has 81 divisors (see below), whose sum is σ = 10042030453. Its totient is φ = 1159074816.

The previous prime is 3480056033. The next prime is 3480056087. The reversal of 3480056064 is 4606500843.

The square root of 3480056064 is 58992.

It is a perfect power (a square), and thus also a powerful number.

3480056064 is a `hidden beast` number, since 3 + 48 + 0 + 0 + 5 + 606 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3434897664 + 45158400 = 58608^2 + 6720^2 .

It is a super-2 number, since 2×3480056064² = 24221580417166344192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2831002 + ... + 2832230.

Almost surely, 2^3480056064 is an apocalyptic number.

3480056064 is the 58992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3480056064

3480056064 is an abundant number, since it is smaller than the sum of its proper divisors (6561974389).

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

3480056064 is an frugal number, since it uses more digits than its factorization.

3480056064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 1234 counting only the distinct ones).

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

The cubic root of 3480056064 is about 1515.4051081472.

Multiplying 3480056064 by its sum of digits (36), we get a square (125282018304 = 353952²).

3480056064 divided by its sum of digits (36) gives a square (96668224 = 9832²).

The spelling of 3480056064 in words is "three billion, four hundred eighty million, fifty-six thousand, sixty-four".