3680871552 has 512 divisors, whose sum is σ = 12408422400. Its totient is φ = 1068318720.

The previous prime is 3680871529. The next prime is 3680871587. The reversal of 3680871552 is 2551780863.

It is a junction number, because it is equal to n+sod(n) for n = 3680871498 and 3680871507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78316393 + ... + 78316439.

It is an arithmetic number, because the mean of its divisors is an integer number (24235200).

Almost surely, 2^3680871552 is an apocalyptic number.

3680871552 is a gapful number since it is divisible by the number (32) 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 3680871552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6204211200).

3680871552 is an abundant number, since it is smaller than the sum of its proper divisors (8727550848).

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

3680871552 is a wasteful number, since it uses less digits than its factorization.

3680871552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 3680871552 is about 60670.1866817632. The cubic root of 3680871552 is about 1544.0103984194.

The spelling of 3680871552 in words is "three billion, six hundred eighty million, eight hundred seventy-one thousand, five hundred fifty-two".