3352464000 has 384 divisors, whose sum is σ = 12444456960. Its totient is φ = 864000000.

The previous prime is 3352463909. The next prime is 3352464007. The reversal of 3352464000 is 4642533.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3352464000² = 22478029742592000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3352464007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4463625 + ... + 4464375.

It is an arithmetic number, because the mean of its divisors is an integer number (32407440).

Almost surely, 2^3352464000 is an apocalyptic number.

3352464000 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 3352464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6222228480).

3352464000 is an abundant number, since it is smaller than the sum of its proper divisors (9091992960).

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

3352464000 is a wasteful number, since it uses less digits than its factorization.

3352464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3352464000 is about 57900.4663193657. The cubic root of 3352464000 is about 1496.6538745132.

The spelling of 3352464000 in words is "three billion, three hundred fifty-two million, four hundred sixty-four thousand".