3356248896 has 336 divisors, whose sum is σ = 12918691968. Its totient is φ = 804556800.

The previous prime is 3356248813. The next prime is 3356248921. The reversal of 3356248896 is 6988426533.

3356248896 is a `hidden beast` number, since 3 + 3 + 5 + 624 + 8 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3356248896² = 22528813303802437632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 573666 + ... + 579486.

It is an arithmetic number, because the mean of its divisors is an integer number (38448488).

Almost surely, 2^3356248896 is an apocalyptic number.

3356248896 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 3356248896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6459345984).

3356248896 is an abundant number, since it is smaller than the sum of its proper divisors (9562443072).

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

3356248896 is a wasteful number, since it uses less digits than its factorization.

3356248896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5870 (or 5857 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 3356248896 is about 57933.1416030583. The cubic root of 3356248896 is about 1497.2168980895.

It can be divided in two parts, 3356 and 248896, that added together give a palindrome (252252).

The spelling of 3356248896 in words is "three billion, three hundred fifty-six million, two hundred forty-eight thousand, eight hundred ninety-six".