3311961744 has 240 divisors, whose sum is σ = 11284486080. Its totient is φ = 827366400.

The previous prime is 3311961739. The next prime is 3311961749. The reversal of 3311961744 is 4471691133.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3311961739) and next prime (3311961749).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3311961749) 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, 578094 + ... + 583794.

It is an arithmetic number, because the mean of its divisors is an integer number (47018692).

Almost surely, 2^3311961744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3311961744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5642243040).

3311961744 is an abundant number, since it is smaller than the sum of its proper divisors (7972524336).

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

3311961744 is a wasteful number, since it uses less digits than its factorization.

3311961744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5758 (or 5745 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 3311961744 is about 57549.6459068168. The cubic root of 3311961744 is about 1490.6022435213.

The spelling of 3311961744 in words is "three billion, three hundred eleven million, nine hundred sixty-one thousand, seven hundred forty-four".