3262464000 has 480 divisors, whose sum is σ = 12267964800. Its totient is φ = 855244800.

The previous prime is 3262463993. The next prime is 3262464001. The reversal of 3262464000 is 4642623.

3262464000 is a `hidden beast` number, since 32 + 624 + 6 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3262464001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55295971 + ... + 55296029.

It is an arithmetic number, because the mean of its divisors is an integer number (25558260).

Almost surely, 2^3262464000 is an apocalyptic number.

3262464000 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 3262464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6133982400).

3262464000 is an abundant number, since it is smaller than the sum of its proper divisors (9005500800).

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

3262464000 is an frugal number, since it uses more digits than its factorization.

3262464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3262464000 is about 57117.9831576711. The cubic root of 3262464000 is about 1483.1391854078.

The spelling of 3262464000 in words is "three billion, two hundred sixty-two million, four hundred sixty-four thousand".