3652897248 has 288 divisors, whose sum is σ = 13948526592. Its totient is φ = 875750400.

The previous prime is 3652897243. The next prime is 3652897277. The reversal of 3652897248 is 8427982563.

3652897248 is a `hidden beast` number, since 3 + 6 + 528 + 9 + 72 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 3652897194 and 3652897203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3652897243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281953 + ... + 294623.

It is an arithmetic number, because the mean of its divisors is an integer number (48432384).

Almost surely, 2^3652897248 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 3652897248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6974263296).

3652897248 is an abundant number, since it is smaller than the sum of its proper divisors (10295629344).

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

3652897248 is a wasteful number, since it uses less digits than its factorization.

3652897248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12718 (or 12707 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 3652897248 is about 60439.2029067227. The cubic root of 3652897248 is about 1540.0889991855.

The spelling of 3652897248 in words is "three billion, six hundred fifty-two million, eight hundred ninety-seven thousand, two hundred forty-eight".