3608019072 has 512 divisors, whose sum is σ = 13348454400. Its totient is φ = 935608320.

The previous prime is 3608019053. The next prime is 3608019083. The reversal of 3608019072 is 2709108063.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12749043 + ... + 12749325.

It is an arithmetic number, because the mean of its divisors is an integer number (26071200).

Almost surely, 2^3608019072 is an apocalyptic number.

3608019072 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 3608019072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6674227200).

3608019072 is an abundant number, since it is smaller than the sum of its proper divisors (9740435328).

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

3608019072 is a wasteful number, since it uses less digits than its factorization.

3608019072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3608019072 is about 60066.7884275495. The cubic root of 3608019072 is about 1533.7560005982.

The spelling of 3608019072 in words is "three billion, six hundred eight million, nineteen thousand, seventy-two".