3672613040 has 80 divisors (see below), whose sum is σ = 8694538752. Its totient is φ = 1442403072.

The previous prime is 3672613033. The next prime is 3672613057. The reversal of 3672613040 is 403162763.

3672613040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3672612988 and 3672613006.

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, 1966187 + ... + 1968053.

Almost surely, 2^3672613040 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 3672613040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4347269376).

3672613040 is an abundant number, since it is smaller than the sum of its proper divisors (5021925712).

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

3672613040 is a wasteful number, since it uses less digits than its factorization.

3672613040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 3672613040 is about 60602.0877528159. The cubic root of 3672613040 is about 1542.8548046538.

The spelling of 3672613040 in words is "three billion, six hundred seventy-two million, six hundred thirteen thousand, forty".