3388234752 has 528 divisors, whose sum is σ = 12153284640. Its totient is φ = 928972800.

The previous prime is 3388234739. The next prime is 3388234753. The reversal of 3388234752 is 2574328833.

It is a super-2 number, since 2×3388234752² = 22960269469321003008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3388234698 and 3388234707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3388234753) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 55544802 + ... + 55544862.

Almost surely, 2^3388234752 is an apocalyptic number.

3388234752 is a gapful number since it is divisible by the number (32) 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 3388234752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6076642320).

3388234752 is an abundant number, since it is smaller than the sum of its proper divisors (8765049888).

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

3388234752 is a wasteful number, since it uses less digits than its factorization.

3388234752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 114 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 3388234752 is about 58208.5453520357. The cubic root of 3388234752 is about 1501.9581466621.

The spelling of 3388234752 in words is "three billion, three hundred eighty-eight million, two hundred thirty-four thousand, seven hundred fifty-two".