3598832160 has 768 divisors, whose sum is σ = 16257024000. Its totient is φ = 721612800.

The previous prime is 3598832117. The next prime is 3598832173. The reversal of 3598832160 is 612388953.

It is a happy number.

3598832160 is a `hidden beast` number, since 359 + 8 + 83 + 216 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10311666 + ... + 10312014.

It is an arithmetic number, because the mean of its divisors is an integer number (21168000).

Almost surely, 2^3598832160 is an apocalyptic number.

3598832160 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 3598832160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8128512000).

3598832160 is an abundant number, since it is smaller than the sum of its proper divisors (12658191840).

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

3598832160 is a wasteful number, since it uses less digits than its factorization.

3598832160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3598832160 is about 59990.2672106068. The cubic root of 3598832160 is about 1532.4531196767.

The spelling of 3598832160 in words is "three billion, five hundred ninety-eight million, eight hundred thirty-two thousand, one hundred sixty".