3918243840 has 576 divisors, whose sum is σ = 15461409600. Its totient is φ = 842268672.

The previous prime is 3918243839. The next prime is 3918243841. The reversal of 3918243840 is 483428193.

It is an interprime number because it is at equal distance from previous prime (3918243839) and next prime (3918243841).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3918243792 and 3918243801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3918243841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28600252 + ... + 28600388.

It is an arithmetic number, because the mean of its divisors is an integer number (26842725).

Almost surely, 2^3918243840 is an apocalyptic number.

3918243840 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 3918243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7730704800).

3918243840 is an abundant number, since it is smaller than the sum of its proper divisors (11543165760).

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

3918243840 is a wasteful number, since it uses less digits than its factorization.

3918243840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 3918243840 is about 62595.8771805300. The cubic root of 3918243840 is about 1576.5115365599.

The spelling of 3918243840 in words is "three billion, nine hundred eighteen million, two hundred forty-three thousand, eight hundred forty".