3930647040 has 640 divisors, whose sum is σ = 15261523200. Its totient is φ = 955514880.

The previous prime is 3930646957. The next prime is 3930647047. The reversal of 3930647040 is 407460393.

3930647040 is a `hidden beast` number, since 3 + 9 + 3 + 0 + 647 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 3930646986 and 3930647004.

It is not an unprimeable number, because it can be changed into a prime (3930647047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53844444 + ... + 53844516.

It is an arithmetic number, because the mean of its divisors is an integer number (23846130).

Almost surely, 2^3930647040 is an apocalyptic number.

3930647040 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 3930647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7630761600).

3930647040 is an abundant number, since it is smaller than the sum of its proper divisors (11330876160).

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

3930647040 is a wasteful number, since it uses less digits than its factorization.

3930647040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3930647040 is about 62694.8725176150. The cubic root of 3930647040 is about 1578.1732666949.

The spelling of 3930647040 in words is "three billion, nine hundred thirty million, six hundred forty-seven thousand, forty".