3672404064 has 144 divisors (see below), whose sum is σ = 11954621952. Its totient is φ = 1047561984.

The previous prime is 3672404017. The next prime is 3672404077. The reversal of 3672404064 is 4604042763.

3672404064 is a `hidden beast` number, since 3 + 6 + 7 + 240 + 406 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1779097 + ... + 1781159.

It is an arithmetic number, because the mean of its divisors is an integer number (83018208).

Almost surely, 2^3672404064 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 3672404064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5977310976).

3672404064 is an abundant number, since it is smaller than the sum of its proper divisors (8282217888).

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

3672404064 is a wasteful number, since it uses less digits than its factorization.

3672404064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2969 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3672404064 is about 60600.3635632659. The cubic root of 3672404064 is about 1542.8255406813.

The spelling of 3672404064 in words is "three billion, six hundred seventy-two million, four hundred four thousand, sixty-four".