3915567840 has 384 divisors, whose sum is σ = 14087872512. Its totient is φ = 908328960.

The previous prime is 3915567827. The next prime is 3915567841. The reversal of 3915567840 is 487655193.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3915567840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3915567841) 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, 5817744 + ... + 5818416.

It is an arithmetic number, because the mean of its divisors is an integer number (36687168).

Almost surely, 2^3915567840 is an apocalyptic number.

3915567840 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 3915567840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7043936256).

3915567840 is an abundant number, since it is smaller than the sum of its proper divisors (10172304672).

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

3915567840 is a wasteful number, since it uses less digits than its factorization.

3915567840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The square root of 3915567840 is about 62574.4983200025. The cubic root of 3915567840 is about 1576.1525572298.

The spelling of 3915567840 in words is "three billion, nine hundred fifteen million, five hundred sixty-seven thousand, eight hundred forty".