3598980 has 192 divisors, whose sum is σ = 13547520. Its totient is φ = 691200.

The previous prime is 3598967. The next prime is 3598981. The reversal of 3598980 is 898953.

3598980 = T₇₁ + T₇₂ + ... + T₂₇₉.

3598980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3598981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87760 + ... + 87800.

It is an arithmetic number, because the mean of its divisors is an integer number (70560).

Almost surely, 2^3598980 is an apocalyptic number.

3598980 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 3598980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773760).

3598980 is an abundant number, since it is smaller than the sum of its proper divisors (9948540).

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

3598980 is a wasteful number, since it uses less digits than its factorization.

3598980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 3598980 is about 1897.0977834577. The cubic root of 3598980 is about 153.2474103777.

It can be divided in two parts, 359 and 8980, that added together give a palindrome (9339).

The spelling of 3598980 in words is "three million, five hundred ninety-eight thousand, nine hundred eighty".