3601653120 has 256 divisors, whose sum is σ = 13737931200. Its totient is φ = 886505472.

The previous prime is 3601653089. The next prime is 3601653131. The reversal of 3601653120 is 213561063.

3601653120 is a `hidden beast` number, since 3 + 6 + 0 + 1 + 653 + 1 + 2 + 0 = 666.

3601653120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216624 + ... + 232656.

Almost surely, 2^3601653120 is an apocalyptic number.

3601653120 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 3601653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6868965600).

3601653120 is an abundant number, since it is smaller than the sum of its proper divisors (10136278080).

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

3601653120 is a wasteful number, since it uses less digits than its factorization.

3601653120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16074 (or 16056 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3601653120 is about 60013.7744188782. The cubic root of 3601653120 is about 1532.8534217488.

The spelling of 3601653120 in words is "three billion, six hundred one million, six hundred fifty-three thousand, one hundred twenty".