3672000036 has 36 divisors (see below), whose sum is σ = 9373910364. Its totient is φ = 1211880000.

The previous prime is 3672000029. The next prime is 3672000041. The reversal of 3672000036 is 6300002763.

3672000036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1674446400 + 1997553636 = 40920^2 + 44694^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3671999973 and 3672000009.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 501315 + ... + 508586.

It is an arithmetic number, because the mean of its divisors is an integer number (260386399).

Almost surely, 2^3672000036 is an apocalyptic number.

3672000036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3672000036 is an abundant number, since it is smaller than the sum of its proper divisors (5701910328).

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

3672000036 is a wasteful number, since it uses less digits than its factorization.

3672000036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010012 (or 1010007 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 3672000036 is about 60597.0299272167. The cubic root of 3672000036 is about 1542.7689594367.

Adding to 3672000036 its reverse (6300002763), we get a palindrome (9972002799).

The spelling of 3672000036 in words is "three billion, six hundred seventy-two million, thirty-six", and thus it is an aban number.