3609815040 has 576 divisors, whose sum is σ = 14166472320. Its totient is φ = 843448320.

The previous prime is 3609814987. The next prime is 3609815047. The reversal of 3609815040 is 405189063.

3609815040 is a `hidden beast` number, since 3 + 60 + 98 + 1 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 3609814986 and 3609815004.

It is not an unprimeable number, because it can be changed into a prime (3609815047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27555775 + ... + 27555905.

It is an arithmetic number, because the mean of its divisors is an integer number (24594570).

Almost surely, 2^3609815040 is an apocalyptic number.

3609815040 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 3609815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7083236160).

3609815040 is an abundant number, since it is smaller than the sum of its proper divisors (10556657280).

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

3609815040 is a wasteful number, since it uses less digits than its factorization.

3609815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3609815040 is about 60081.7363264412. The cubic root of 3609815040 is about 1534.0104449086.

The spelling of 3609815040 in words is "three billion, six hundred nine million, eight hundred fifteen thousand, forty".