3911742240 has 384 divisors, whose sum is σ = 14491975680. Its totient is φ = 868589568.

The previous prime is 3911742217. The next prime is 3911742251. The reversal of 3911742240 is 422471193.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30801057 + ... + 30801183.

It is an arithmetic number, because the mean of its divisors is an integer number (37739520).

Almost surely, 2^3911742240 is an apocalyptic number.

3911742240 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 3911742240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7245987840).

3911742240 is an abundant number, since it is smaller than the sum of its proper divisors (10580233440).

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

3911742240 is a wasteful number, since it uses less digits than its factorization.

3911742240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 3911742240 is about 62543.9224865214. The cubic root of 3911742240 is about 1575.6390775113.

The spelling of 3911742240 in words is "three billion, nine hundred eleven million, seven hundred forty-two thousand, two hundred forty".