3652005456 has 120 divisors (see below), whose sum is σ = 11302776576. Its totient is φ = 1091473920.

The previous prime is 3652005449. The next prime is 3652005457. The reversal of 3652005456 is 6545002563.

It is a happy number.

3652005456 is a `hidden beast` number, since 36 + 520 + 0 + 54 + 56 = 666.

3652005456 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 self number, because there is not a number n which added to its sum of digits gives 3652005456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3652005457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99841 + ... + 131423.

Almost surely, 2^3652005456 is an apocalyptic number.

3652005456 is a gapful number since it is divisible by the number (36) 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 3652005456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5651388288).

3652005456 is an abundant number, since it is smaller than the sum of its proper divisors (7650771120).

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

3652005456 is a wasteful number, since it uses less digits than its factorization.

3652005456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31681 (or 31672 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 3652005456 is about 60431.8248607470. The cubic root of 3652005456 is about 1539.9636602433.

The spelling of 3652005456 in words is "three billion, six hundred fifty-two million, five thousand, four hundred fifty-six".