3623427040 has 96 divisors (see below), whose sum is σ = 8899904160. Its totient is φ = 1392384000.

The previous prime is 3623427019. The next prime is 3623427077. The reversal of 3623427040 is 407243263.

It is a junction number, because it is equal to n+sod(n) for n = 3623426993 and 3623427011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 977190 + ... + 980890.

It is an arithmetic number, because the mean of its divisors is an integer number (92707335).

Almost surely, 2^3623427040 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 3623427040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4449952080).

3623427040 is an abundant number, since it is smaller than the sum of its proper divisors (5276477120).

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

3623427040 is a wasteful number, since it uses less digits than its factorization.

3623427040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 31.

The square root of 3623427040 is about 60194.9087548108. The cubic root of 3623427040 is about 1535.9361907448.

The spelling of 3623427040 in words is "three billion, six hundred twenty-three million, four hundred twenty-seven thousand, forty".