3647042640 has 240 divisors, whose sum is σ = 13320607248. Its totient is φ = 890486784.

The previous prime is 3647042629. The next prime is 3647042669. The reversal of 3647042640 is 462407463.

3647042640 is a `hidden beast` number, since 3 + 6 + 4 + 7 + 0 + 4 + 2 + 640 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 688117824 + 2958924816 = 26232^2 + 54396^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 = 3647042595 and 3647042604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448854 + ... + 456906.

Almost surely, 2^3647042640 is an apocalyptic number.

3647042640 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 3647042640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6660303624).

3647042640 is an abundant number, since it is smaller than the sum of its proper divisors (9673564608).

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

3647042640 is a wasteful number, since it uses less digits than its factorization.

3647042640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8126 (or 8117 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3647042640 is about 60390.7496227692. The cubic root of 3647042640 is about 1539.2657769481.

The spelling of 3647042640 in words is "three billion, six hundred forty-seven million, forty-two thousand, six hundred forty".