3672271080 has 160 divisors (see below), whose sum is σ = 12879820800. Its totient is φ = 936676224.

The previous prime is 3672271061. The next prime is 3672271087. The reversal of 3672271080 is 801722763.

3672271080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3672271080³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3672271087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49881 + ... + 99159.

It is an arithmetic number, because the mean of its divisors is an integer number (80498880).

Almost surely, 2^3672271080 is an apocalyptic number.

3672271080 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 3672271080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6439910400).

3672271080 is an abundant number, since it is smaller than the sum of its proper divisors (9207549720).

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

3672271080 is a wasteful number, since it uses less digits than its factorization.

3672271080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49325 (or 49312 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 3672271080 is about 60599.2663321925. The cubic root of 3672271080 is about 1542.8069176772.

The spelling of 3672271080 in words is "three billion, six hundred seventy-two million, two hundred seventy-one thousand, eighty".