3480147776 has 168 divisors, whose sum is σ = 8367994440. Its totient is φ = 1430618112.

The previous prime is 3480147743. The next prime is 3480147817. The reversal of 3480147776 is 6777410843.

It can be written as a sum of positive squares in 4 ways, for example, as 375429376 + 3104718400 = 19376^2 + 55720^2 .

It is a super-2 number, since 2×3480147776² = 24222857085595492352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3480147776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10326680 + ... + 10327016.

Almost surely, 2^3480147776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3480147776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4183997220).

3480147776 is an abundant number, since it is smaller than the sum of its proper divisors (4887846664).

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

3480147776 is a wasteful number, since it uses less digits than its factorization.

3480147776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 47.

The square root of 3480147776 is about 58992.7773206178. Note that the first 3 decimals coincide. The cubic root of 3480147776 is about 1515.4184201562.

The spelling of 3480147776 in words is "three billion, four hundred eighty million, one hundred forty-seven thousand, seven hundred seventy-six".