3662672640 has 144 divisors (see below), whose sum is σ = 12761231616. Its totient is φ = 887910400.

The previous prime is 3662672621. The next prime is 3662672677. The reversal of 3662672640 is 462762663.

It is a happy number.

3662672640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3662672592 and 3662672601.

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, 1116 + ... + 85595.

It is an arithmetic number, because the mean of its divisors is an integer number (88619664).

Almost surely, 2^3662672640 is an apocalyptic number.

3662672640 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 3662672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6380615808).

3662672640 is an abundant number, since it is smaller than the sum of its proper divisors (9098558976).

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

3662672640 is a wasteful number, since it uses less digits than its factorization.

3662672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86746 (or 86732 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The square root of 3662672640 is about 60520.0185062761. The cubic root of 3662672640 is about 1541.4615685212.

The spelling of 3662672640 in words is "three billion, six hundred sixty-two million, six hundred seventy-two thousand, six hundred forty".