3262200480 has 720 divisors, whose sum is σ = 14641282656. Its totient is φ = 676408320.

The previous prime is 3262200457. The next prime is 3262200541. The reversal of 3262200480 is 840022623.

3262200480 is a `hidden beast` number, since 32 + 622 + 0 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 6985207 + ... + 6985673.

Almost surely, 2^3262200480 is an apocalyptic number.

3262200480 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 3262200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7320641328).

3262200480 is an abundant number, since it is smaller than the sum of its proper divisors (11379082176).

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

3262200480 is a wasteful number, since it uses less digits than its factorization.

3262200480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3262200480 is about 57115.6763069475. The cubic root of 3262200480 is about 1483.0992516479.

The spelling of 3262200480 in words is "three billion, two hundred sixty-two million, two hundred thousand, four hundred eighty".