3671413760 has 176 divisors, whose sum is σ = 10187182080. Its totient is φ = 1243545600.

The previous prime is 3671413751. The next prime is 3671413769. The reversal of 3671413760 is 673141763.

It is an interprime number because it is at equal distance from previous prime (3671413751) and next prime (3671413769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3671413769) by changing a digit.

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, 3189185 + ... + 3190335.

Almost surely, 2^3671413760 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 3671413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5093591040).

3671413760 is an abundant number, since it is smaller than the sum of its proper divisors (6515768320).

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

3671413760 is a wasteful number, since it uses less digits than its factorization.

3671413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 38.

The square root of 3671413760 is about 60592.1922362939. The cubic root of 3671413760 is about 1542.6868482759.

The spelling of 3671413760 in words is "three billion, six hundred seventy-one million, four hundred thirteen thousand, seven hundred sixty".