3384757740 has 192 divisors, whose sum is σ = 12171995136. Its totient is φ = 683071488.

The previous prime is 3384757721. The next prime is 3384757741. The reversal of 3384757740 is 477574833.

It is a super-3 number, since 3×3384757740³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3384757740.

It is not an unprimeable number, because it can be changed into a prime (3384757741) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112104 + ... + 139056.

It is an arithmetic number, because the mean of its divisors is an integer number (63395808).

Almost surely, 2^3384757740 is an apocalyptic number.

3384757740 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 3384757740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6085997568).

3384757740 is an abundant number, since it is smaller than the sum of its proper divisors (8787237396).

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

3384757740 is a wasteful number, since it uses less digits than its factorization.

3384757740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27008 (or 27006 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 48.

The square root of 3384757740 is about 58178.6708339061. The cubic root of 3384757740 is about 1501.4442001887. Note that the first 3 decimals are identical.

The spelling of 3384757740 in words is "three billion, three hundred eighty-four million, seven hundred fifty-seven thousand, seven hundred forty".