3725671680 has 288 divisors, whose sum is σ = 13426627200. Its totient is φ = 978075648.

The previous prime is 3725671597. The next prime is 3725671693. The reversal of 3725671680 is 861765273.

3725671680 is a `hidden beast` number, since 3 + 7 + 2 + 567 + 1 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2314716 + ... + 2316324.

Almost surely, 2^3725671680 is an apocalyptic number.

3725671680 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 3725671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6713313600).

3725671680 is an abundant number, since it is smaller than the sum of its proper divisors (9700955520).

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

3725671680 is a wasteful number, since it uses less digits than its factorization.

3725671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 3725671680 is about 61038.2804476011. The cubic root of 3725671680 is about 1550.2492391434.

The spelling of 3725671680 in words is "three billion, seven hundred twenty-five million, six hundred seventy-one thousand, six hundred eighty".