3506976648 has 480 divisors, whose sum is σ = 12402185400. Its totient is φ = 919683072.

The previous prime is 3506976619. The next prime is 3506976677. The reversal of 3506976648 is 8466796053.

3506976648 is a `hidden beast` number, since 3 + 506 + 9 + 76 + 64 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3506976619) and next prime (3506976677).

It can be written as a sum of positive squares in 4 ways, for example, as 3031823844 + 475152804 = 55062^2 + 21798^2 .

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 = 3506976594 and 3506976603.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 39404188 + ... + 39404276.

Almost surely, 2^3506976648 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 3506976648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6201092700).

3506976648 is an abundant number, since it is smaller than the sum of its proper divisors (8895208752).

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

3506976648 is a wasteful number, since it uses less digits than its factorization.

3506976648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 3506976648 is about 59219.7319142868. The cubic root of 3506976648 is about 1519.3026360134.

The spelling of 3506976648 in words is "three billion, five hundred six million, nine hundred seventy-six thousand, six hundred forty-eight".