3598644672 has 420 divisors, whose sum is σ = 12837468864. Its totient is φ = 992839680.

The previous prime is 3598644667. The next prime is 3598644683. The reversal of 3598644672 is 2764468953.

3598644672 is a `hidden beast` number, since 3 + 59 + 86 + 446 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7874268 + ... + 7874724.

Almost surely, 2^3598644672 is an apocalyptic number.

3598644672 is a gapful number since it is divisible by the number (32) 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 3598644672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6418734432).

3598644672 is an abundant number, since it is smaller than the sum of its proper divisors (9238824192).

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

3598644672 is a wasteful number, since it uses less digits than its factorization.

3598644672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 500 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 3598644672 is about 59988.7045367709. The cubic root of 3598644672 is about 1532.4265071954.

The spelling of 3598644672 in words is "three billion, five hundred ninety-eight million, six hundred forty-four thousand, six hundred seventy-two".