3352035456 has 768 divisors, whose sum is σ = 13198049280. Its totient is φ = 790732800.

The previous prime is 3352035443. The next prime is 3352035529. The reversal of 3352035456 is 6545302533.

3352035456 is a `hidden beast` number, since 33 + 520 + 3 + 54 + 56 = 666.

It is a super-2 number, since 2×3352035456² = 22472283396562255872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3352035456.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63245926 + ... + 63245978.

It is an arithmetic number, because the mean of its divisors is an integer number (17184960).

Almost surely, 2^3352035456 is an apocalyptic number.

3352035456 is a gapful number since it is divisible by the number (36) 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 3352035456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599024640).

3352035456 is an abundant number, since it is smaller than the sum of its proper divisors (9846013824).

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

3352035456 is a wasteful number, since it uses less digits than its factorization.

3352035456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The square root of 3352035456 is about 57896.7655055099. The cubic root of 3352035456 is about 1496.5900995933.

Adding to 3352035456 its reverse (6545302533), we get a palindrome (9897337989).

The spelling of 3352035456 in words is "three billion, three hundred fifty-two million, thirty-five thousand, four hundred fifty-six".