3672671080 has 64 divisors (see below), whose sum is σ = 8987403600. Its totient is φ = 1342617600.

The previous prime is 3672671077. The next prime is 3672671083. The reversal of 3672671080 is 801762763.

It is an interprime number because it is at equal distance from previous prime (3672671077) and next prime (3672671083).

It can be written as a sum of positive squares in 8 ways, for example, as 818760996 + 2853910084 = 28614^2 + 53422^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3672671083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17556 + ... + 87484.

Almost surely, 2^3672671080 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 3672671080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493701800).

3672671080 is an abundant number, since it is smaller than the sum of its proper divisors (5314732520).

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

3672671080 is a wasteful number, since it uses less digits than its factorization.

3672671080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70054 (or 70050 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 3672671080 is about 60602.5666123144. The cubic root of 3672671080 is about 1542.8629320934.

The spelling of 3672671080 in words is "three billion, six hundred seventy-two million, six hundred seventy-one thousand, eighty".