3593672640 has 336 divisors, whose sum is σ = 12781117440. Its totient is φ = 926300160.

The previous prime is 3593672623. The next prime is 3593672647. The reversal of 3593672640 is 462763953.

3593672640 is a `hidden beast` number, since 359 + 36 + 7 + 264 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3593672647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18814945 + ... + 18815135.

It is an arithmetic number, because the mean of its divisors is an integer number (38039040).

Almost surely, 2^3593672640 is an apocalyptic number.

3593672640 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 3593672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6390558720).

3593672640 is an abundant number, since it is smaller than the sum of its proper divisors (9187444800).

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

3593672640 is a wasteful number, since it uses less digits than its factorization.

3593672640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 3593672640 is about 59947.2488109338. The cubic root of 3593672640 is about 1531.7204279115.

The spelling of 3593672640 in words is "three billion, five hundred ninety-three million, six hundred seventy-two thousand, six hundred forty".