3353222880 has 768 divisors, whose sum is σ = 14321664000. Its totient is φ = 731566080.

The previous prime is 3353222869. The next prime is 3353222881. The reversal of 3353222880 is 882223533.

It is a happy number.

3353222880 is a `hidden beast` number, since 3 + 353 + 2 + 228 + 80 = 666.

It is a super-2 number, since 2×3353222880² = 22488207365910988800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3353222881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45934524 + ... + 45934596.

It is an arithmetic number, because the mean of its divisors is an integer number (18648000).

Almost surely, 2^3353222880 is an apocalyptic number.

3353222880 is a gapful number since it is divisible by the number (30) 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 3353222880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7160832000).

3353222880 is an abundant number, since it is smaller than the sum of its proper divisors (10968441120).

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

3353222880 is a wasteful number, since it uses less digits than its factorization.

3353222880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3353222880 is about 57907.0192636437. The cubic root of 3353222880 is about 1496.7667959349.

The spelling of 3353222880 in words is "three billion, three hundred fifty-three million, two hundred twenty-two thousand, eight hundred eighty".