3487048704 has 220 divisors, whose sum is σ = 11029997484. Its totient is φ = 1093533696.

The previous prime is 3487048679. The next prime is 3487048753. The reversal of 3487048704 is 4078407843.

It can be written as a sum of positive squares in 2 ways, for example, as 2657608704 + 829440000 = 51552^2 + 28800^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3487048704.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1408812 + ... + 1411284.

Almost surely, 2^3487048704 is an apocalyptic number.

3487048704 is a gapful number since it is divisible by the number (34) 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 3487048704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5514998742).

3487048704 is an abundant number, since it is smaller than the sum of its proper divisors (7542948780).

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

3487048704 is a wasteful number, since it uses less digits than its factorization.

3487048704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 3487048704 is about 59051.2379548473. The cubic root of 3487048704 is about 1516.4194206202.

The spelling of 3487048704 in words is "three billion, four hundred eighty-seven million, forty-eight thousand, seven hundred four".