3941667240 has 512 divisors, whose sum is σ = 14780620800. Its totient is φ = 821882880.

The previous prime is 3941667217. The next prime is 3941667259. The reversal of 3941667240 is 427661493.

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 = 3941667192 and 3941667201.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55516405 + ... + 55516475.

It is an arithmetic number, because the mean of its divisors is an integer number (28868400).

Almost surely, 2^3941667240 is an apocalyptic number.

3941667240 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 3941667240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7390310400).

3941667240 is an abundant number, since it is smaller than the sum of its proper divisors (10838953560).

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

3941667240 is a wasteful number, since it uses less digits than its factorization.

3941667240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 3941667240 is about 62782.6985721385. The cubic root of 3941667240 is about 1579.6467778473.

The spelling of 3941667240 in words is "three billion, nine hundred forty-one million, six hundred sixty-seven thousand, two hundred forty".