3668578002 has 48 divisors (see below), whose sum is σ = 8436436632. Its totient is φ = 1148152320.

The previous prime is 3668577977. The next prime is 3668578027. The reversal of 3668578002 is 2008758663.

3668578002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3668577977) and next prime (3668578027).

It can be written as a sum of positive squares in 4 ways, for example, as 2389156641 + 1279421361 = 48879^2 + 35769^2 .

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, 114588 + ... + 143064.

Almost surely, 2^3668578002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3668578002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218218316).

3668578002 is an abundant number, since it is smaller than the sum of its proper divisors (4767858630).

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

3668578002 is a wasteful number, since it uses less digits than its factorization.

3668578002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28923 (or 28920 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 3668578002 is about 60568.7873578463. The cubic root of 3668578002 is about 1542.2895614122.

The spelling of 3668578002 in words is "three billion, six hundred sixty-eight million, five hundred seventy-eight thousand, two".