3888945840 has 480 divisors, whose sum is σ = 14581566720. Its totient is φ = 849788928.

The previous prime is 3888945833. The next prime is 3888945847. The reversal of 3888945840 is 485498883.

It is an interprime number because it is at equal distance from previous prime (3888945833) and next prime (3888945847).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3888945847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17131807 + ... + 17132033.

It is an arithmetic number, because the mean of its divisors is an integer number (30378264).

Almost surely, 2^3888945840 is an apocalyptic number.

3888945840 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 3888945840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7290783360).

3888945840 is an abundant number, since it is smaller than the sum of its proper divisors (10692620880).

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

3888945840 is a wasteful number, since it uses less digits than its factorization.

3888945840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 57.

The square root of 3888945840 is about 62361.4130693011. The cubic root of 3888945840 is about 1572.5723365799.

The spelling of 3888945840 in words is "three billion, eight hundred eighty-eight million, nine hundred forty-five thousand, eight hundred forty".