3662623440 has 320 divisors, whose sum is σ = 14916902400. Its totient is φ = 808206336.

The previous prime is 3662623403. The next prime is 3662623441. The reversal of 3662623440 is 443262663.

3662623440 is a `hidden beast` number, since 3 + 6 + 626 + 23 + 4 + 4 + 0 = 666.

3662623440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3662623395 and 3662623404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3662623441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 434304 + ... + 442656.

It is an arithmetic number, because the mean of its divisors is an integer number (46615320).

Almost surely, 2^3662623440 is an apocalyptic number.

3662623440 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 3662623440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7458451200).

3662623440 is an abundant number, since it is smaller than the sum of its proper divisors (11254278960).

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

3662623440 is a wasteful number, since it uses less digits than its factorization.

3662623440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8411 (or 8399 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 3662623440 is about 60519.6120278377. The cubic root of 3662623440 is about 1541.4546664348.

The spelling of 3662623440 in words is "three billion, six hundred sixty-two million, six hundred twenty-three thousand, four hundred forty".