3598190144640 has 768 divisors, whose sum is σ = 15617783301120. Its totient is φ = 743020756992.

The previous prime is 3598190144609. The next prime is 3598190144707. The reversal of 3598190144640 is 464410918953.

3598190144640 is a `hidden beast` number, since 3 + 5 + 9 + 8 + 190 + 1 + 446 + 4 + 0 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 24562492 + ... + 24708548.

It is an arithmetic number, because the mean of its divisors is an integer number (20335655340).

Almost surely, 2^{3598190144640} is an apocalyptic number.

3598190144640 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 3598190144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7808891650560).

3598190144640 is an abundant number, since it is smaller than the sum of its proper divisors (12019593156480).

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

3598190144640 is a wasteful number, since it uses less digits than its factorization.

3598190144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146149 (or 146134 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 3598190144640 in words is "three trillion, five hundred ninety-eight billion, one hundred ninety million, one hundred forty-four thousand, six hundred forty".