3616506240 has 256 divisors, whose sum is σ = 11832652800. Its totient is φ = 939294720.

The previous prime is 3616506239. The next prime is 3616506247. The reversal of 3616506240 is 426056163.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3616506247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17139735 + ... + 17139945.

It is an arithmetic number, because the mean of its divisors is an integer number (46221300).

Almost surely, 2^3616506240 is an apocalyptic number.

3616506240 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 3616506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5916326400).

3616506240 is an abundant number, since it is smaller than the sum of its proper divisors (8216146560).

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

3616506240 is a wasteful number, since it uses less digits than its factorization.

3616506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 3616506240 is about 60137.3946891616. The cubic root of 3616506240 is about 1534.9576804356.

The spelling of 3616506240 in words is "three billion, six hundred sixteen million, five hundred six thousand, two hundred forty".