3345457752 has 432 divisors, whose sum is σ = 11846278080. Its totient is φ = 849139200.

The previous prime is 3345457747. The next prime is 3345457763. The reversal of 3345457752 is 2577545433.

3345457752 is a `hidden beast` number, since 3 + 34 + 545 + 7 + 75 + 2 = 666.

3345457752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3345457752² = 22384175140833787008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3345457698 and 3345457707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18483102 + ... + 18483282.

It is an arithmetic number, because the mean of its divisors is an integer number (27421940).

Almost surely, 2^3345457752 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 3345457752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5923139040).

3345457752 is an abundant number, since it is smaller than the sum of its proper divisors (8500820328).

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

3345457752 is a wasteful number, since it uses less digits than its factorization.

3345457752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 237 counting only the distinct ones).

The product of its digits is 1764000, while the sum is 45.

The square root of 3345457752 is about 57839.9321576366. The cubic root of 3345457752 is about 1495.6105382799.

The spelling of 3345457752 in words is "three billion, three hundred forty-five million, four hundred fifty-seven thousand, seven hundred fifty-two".