3622505040 has 720 divisors, whose sum is σ = 16096219776. Its totient is φ = 709171200.

The previous prime is 3622505023. The next prime is 3622505063. The reversal of 3622505040 is 405052263.

3622505040 is a `hidden beast` number, since 362 + 250 + 50 + 4 + 0 = 666.

3622505040 is digitally balanced in base 2 and base 4, because in such bases 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 (720).

It is a junction number, because it is equal to n+sod(n) for n = 3622504995 and 3622505013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20013750 + ... + 20013930.

Almost surely, 2^3622505040 is an apocalyptic number.

3622505040 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 3622505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8048109888).

3622505040 is an abundant number, since it is smaller than the sum of its proper divisors (12473714736).

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

3622505040 is a wasteful number, since it uses less digits than its factorization.

3622505040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3622505040 is about 60187.2498125641. The cubic root of 3622505040 is about 1535.8059040224.

The spelling of 3622505040 in words is "three billion, six hundred twenty-two million, five hundred five thousand, forty".