3667515040 has 96 divisors (see below), whose sum is σ = 9929969280. Its totient is φ = 1253919744.

The previous prime is 3667515031. The next prime is 3667515079. The reversal of 3667515040 is 405157663.

3667515040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413371 + ... + 422149.

It is an arithmetic number, because the mean of its divisors is an integer number (103437180).

Almost surely, 2^3667515040 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 3667515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4964984640).

3667515040 is an abundant number, since it is smaller than the sum of its proper divisors (6262454240).

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

3667515040 is a wasteful number, since it uses less digits than its factorization.

3667515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9174 (or 9166 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 3667515040 is about 60560.0118890345. The cubic root of 3667515040 is about 1542.1405887441.

It can be divided in two parts, 36675 and 15040, that added together give a palindrome (51715).

The spelling of 3667515040 in words is "three billion, six hundred sixty-seven million, five hundred fifteen thousand, forty".