3351964800 has 768 divisors, whose sum is σ = 13113446400. Its totient is φ = 746127360.

The previous prime is 3351964751. The next prime is 3351964801. The reversal of 3351964800 is 84691533.

It is a super-2 number, since 2×3351964800² = 22471336040878080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3351964801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71318377 + ... + 71318423.

It is an arithmetic number, because the mean of its divisors is an integer number (17074800).

Almost surely, 2^3351964800 is an apocalyptic number.

3351964800 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 3351964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6556723200).

3351964800 is an abundant number, since it is smaller than the sum of its proper divisors (9761481600).

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

3351964800 is a wasteful number, since it uses less digits than its factorization.

3351964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 3351964800 is about 57896.1553127667. The cubic root of 3351964800 is about 1496.5795842100.

The spelling of 3351964800 in words is "three billion, three hundred fifty-one million, nine hundred sixty-four thousand, eight hundred".