3306500870400 has 6480 divisors, whose sum is σ = 17620707202560. Its totient is φ = 601974374400.

The previous prime is 3306500870389. The next prime is 3306500870471. The reversal of 3306500870400 is 40780056033.

It is a happy number.

3306500870400 is a `hidden beast` number, since 3 + 30 + 6 + 500 + 87 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 106661318385 + ... + 106661318415.

Almost surely, 2^{3306500870400} is an apocalyptic number.

3306500870400 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 3306500870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8810353601280).

3306500870400 is an abundant number, since it is smaller than the sum of its proper divisors (14314206332160).

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

3306500870400 is a wasteful number, since it uses less digits than its factorization.

3306500870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 3306500870400 in words is "three trillion, three hundred six billion, five hundred million, eight hundred seventy thousand, four hundred".