3672740160 has 168 divisors, whose sum is σ = 12655469736. Its totient is φ = 977633280.

The previous prime is 3672740131. The next prime is 3672740171. The reversal of 3672740160 is 610472763.

It can be written as a sum of positive squares in 4 ways, for example, as 66977856 + 3605762304 = 8184^2 + 60048^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2697880 + ... + 2699240.

It is an arithmetic number, because the mean of its divisors is an integer number (75330177).

Almost surely, 2^3672740160 is an apocalyptic number.

3672740160 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 3672740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6327734868).

3672740160 is an abundant number, since it is smaller than the sum of its proper divisors (8982729576).

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

3672740160 is a wasteful number, since it uses less digits than its factorization.

3672740160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3672740160 is about 60603.1365524921. The cubic root of 3672740160 is about 1542.8726053712.

The spelling of 3672740160 in words is "three billion, six hundred seventy-two million, seven hundred forty thousand, one hundred sixty".