3918882240 has 672 divisors, whose sum is σ = 17485278720. Its totient is φ = 782327808.

The previous prime is 3918882239. The next prime is 3918882241. The reversal of 3918882240 is 422888193.

It is an interprime number because it is at equal distance from previous prime (3918882239) and next prime (3918882241).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3918882241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4979127 + ... + 4979913.

It is an arithmetic number, because the mean of its divisors is an integer number (26019760).

Almost surely, 2^3918882240 is an apocalyptic number.

3918882240 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 3918882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8742639360).

3918882240 is an abundant number, since it is smaller than the sum of its proper divisors (13566396480).

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

3918882240 is a wasteful number, since it uses less digits than its factorization.

3918882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 3918882240 is about 62600.9763502136. The cubic root of 3918882240 is about 1576.5971523231.

The spelling of 3918882240 in words is "three billion, nine hundred eighteen million, eight hundred eighty-two thousand, two hundred forty".