3662040072 has 64 divisors (see below), whose sum is σ = 9462784320. Its totient is φ = 1180078848.

The previous prime is 3662040049. The next prime is 3662040077. The reversal of 3662040072 is 2700402663.

It is not an unprimeable number, because it can be changed into a prime (3662040077) 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, 126283 + ... + 152549.

It is an arithmetic number, because the mean of its divisors is an integer number (147856005).

Almost surely, 2^3662040072 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 3662040072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4731392160).

3662040072 is an abundant number, since it is smaller than the sum of its proper divisors (5800744248).

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

3662040072 is a wasteful number, since it uses less digits than its factorization.

3662040072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26470 (or 26466 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 3662040072 is about 60514.7921751368. The cubic root of 3662040072 is about 1541.3728231798.

The spelling of 3662040072 in words is "three billion, six hundred sixty-two million, forty thousand, seventy-two".