3628748592 has 320 divisors, whose sum is σ = 12649190400. Its totient is φ = 972933120.

The previous prime is 3628748581. The next prime is 3628748593. The reversal of 3628748592 is 2958478263.

3628748592 is a `hidden beast` number, since 3 + 6 + 2 + 8 + 7 + 48 + 592 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3628748593) 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, 7871242 + ... + 7871702.

It is an arithmetic number, because the mean of its divisors is an integer number (39528720).

Almost surely, 2^3628748592 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 3628748592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6324595200).

3628748592 is an abundant number, since it is smaller than the sum of its proper divisors (9020441808).

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

3628748592 is a wasteful number, since it uses less digits than its factorization.

3628748592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 629 counting only the distinct ones).

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

The square root of 3628748592 is about 60239.0952123287. The cubic root of 3628748592 is about 1536.6877413355.

The spelling of 3628748592 in words is "three billion, six hundred twenty-eight million, seven hundred forty-eight thousand, five hundred ninety-two".