3671856960 has 112 divisors (see below), whose sum is σ = 11878275456. Its totient is φ = 960673792.

The previous prime is 3671856931. The next prime is 3671856971. The reversal of 3671856960 is 696581763.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14797 + ... + 86963.

Almost surely, 2^3671856960 is an apocalyptic number.

3671856960 is a gapful number since it is divisible by the number (30) 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 3671856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5939137728).

3671856960 is an abundant number, since it is smaller than the sum of its proper divisors (8206418496).

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

3671856960 is a wasteful number, since it uses less digits than its factorization.

3671856960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72240 (or 72230 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 3671856960 is about 60595.8493628070. The cubic root of 3671856960 is about 1542.7489216665.

The spelling of 3671856960 in words is "three billion, six hundred seventy-one million, eight hundred fifty-six thousand, nine hundred sixty".