3394282752 has 432 divisors, whose sum is σ = 12015776640. Its totient is φ = 925655040.

The previous prime is 3394282751. The next prime is 3394282807. The reversal of 3394282752 is 2572824933.

3394282752 is a `hidden beast` number, since 339 + 42 + 8 + 275 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 3394282698 and 3394282707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3394282751) 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, 46496988 + ... + 46497060.

Almost surely, 2^3394282752 is an apocalyptic number.

3394282752 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 3394282752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6007888320).

3394282752 is an abundant number, since it is smaller than the sum of its proper divisors (8621493888).

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

3394282752 is an equidigital number, since it uses as much as digits as its factorization.

3394282752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 116 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 3394282752 is about 58260.4733245448. The cubic root of 3394282752 is about 1502.8512806981.

It can be divided in two parts, 3394 and 282752, that added together give a triangular number (286146 = T₇₅₆).

The spelling of 3394282752 in words is "three billion, three hundred ninety-four million, two hundred eighty-two thousand, seven hundred fifty-two".