3598525440 has 220 divisors, whose sum is σ = 12896566716. Its totient is φ = 959496192.

The previous prime is 3598525423. The next prime is 3598525487. The reversal of 3598525440 is 445258953.

3598525440 is a `hidden beast` number, since 3 + 59 + 8 + 52 + 544 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1116094464 + 2482430976 = 33408^2 + 49824^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 410382 + ... + 419058.

Almost surely, 2^3598525440 is an apocalyptic number.

3598525440 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 3598525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6448283358).

3598525440 is an abundant number, since it is smaller than the sum of its proper divisors (9298041276).

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

3598525440 is an equidigital number, since it uses as much as digits as its factorization.

3598525440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8714 (or 8687 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 3598525440 is about 59987.7107414510. The cubic root of 3598525440 is about 1532.4095826482.

It can be divided in two parts, 35985 and 25440, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 3598525440 in words is "three billion, five hundred ninety-eight million, five hundred twenty-five thousand, four hundred forty".