3840632640 has 336 divisors, whose sum is σ = 14977872000. Its totient is φ = 895463424.

The previous prime is 3840632567. The next prime is 3840632681. The reversal of 3840632640 is 462360483.

It is a happy number.

3840632640 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 6 + 3 + 2 + 640 = 666.

3840632640 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 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 = 3840632595 and 3840632604.

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, 708661 + ... + 714059.

It is an arithmetic number, because the mean of its divisors is an integer number (44577000).

Almost surely, 2^3840632640 is an apocalyptic number.

3840632640 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 3840632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7488936000).

3840632640 is an abundant number, since it is smaller than the sum of its proper divisors (11137239360).

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

3840632640 is a wasteful number, since it uses less digits than its factorization.

3840632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5454 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3840632640 is about 61972.8379211409. The cubic root of 3840632640 is about 1566.0330483378.

The spelling of 3840632640 in words is "three billion, eight hundred forty million, six hundred thirty-two thousand, six hundred forty".