3615042816 has 648 divisors, whose sum is σ = 13740487488. Its totient is φ = 903168000.

The previous prime is 3615042791. The next prime is 3615042859. The reversal of 3615042816 is 6182405163.

It is a happy number.

3615042816 is a `hidden beast` number, since 3 + 615 + 0 + 4 + 28 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50916061 + ... + 50916131.

It is an arithmetic number, because the mean of its divisors is an integer number (21204456).

Almost surely, 2^3615042816 is an apocalyptic number.

3615042816 is a gapful number since it is divisible by the number (36) 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 3615042816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6870243744).

3615042816 is an abundant number, since it is smaller than the sum of its proper divisors (10125444672).

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

3615042816 is a wasteful number, since it uses less digits than its factorization.

3615042816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3615042816 is about 60125.2261201569. The cubic root of 3615042816 is about 1534.7506116223.

Adding to 3615042816 its reverse (6182405163), we get a palindrome (9797447979).

The spelling of 3615042816 in words is "three billion, six hundred fifteen million, forty-two thousand, eight hundred sixteen".