3628592640 has 480 divisors, whose sum is σ = 13762869120. Its totient is φ = 913711104.

The previous prime is 3628592629. The next prime is 3628592651. The reversal of 3628592640 is 462958263.

3628592640 is a `hidden beast` number, since 36 + 28 + 592 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3628592629) and next prime (3628592651).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11819367 + ... + 11819673.

It is an arithmetic number, because the mean of its divisors is an integer number (28672644).

Almost surely, 2^3628592640 is an apocalyptic number.

3628592640 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 3628592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6881434560).

3628592640 is an abundant number, since it is smaller than the sum of its proper divisors (10134276480).

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

3628592640 is an equidigital number, since it uses as much as digits as its factorization.

3628592640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3628592640 is about 60237.8007566677. The cubic root of 3628592640 is about 1536.6657270465.

The spelling of 3628592640 in words is "three billion, six hundred twenty-eight million, five hundred ninety-two thousand, six hundred forty".