3357223968 has 192 divisors, whose sum is σ = 10371981312. Its totient is φ = 930908160.

The previous prime is 3357223967. The next prime is 3357223973. The reversal of 3357223968 is 8693227533.

It is a super-2 number, since 2×3357223968² = 22541905542627330048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3357223967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6443548 + ... + 6444068.

It is an arithmetic number, because the mean of its divisors is an integer number (54020736).

Almost surely, 2^3357223968 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 3357223968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5185990656).

3357223968 is an abundant number, since it is smaller than the sum of its proper divisors (7014757344).

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

3357223968 is a wasteful number, since it uses less digits than its factorization.

3357223968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 799 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 48.

The square root of 3357223968 is about 57941.5564858246. The cubic root of 3357223968 is about 1497.3618767015.

The spelling of 3357223968 in words is "three billion, three hundred fifty-seven million, two hundred twenty-three thousand, nine hundred sixty-eight".