3006820641600 has 252 divisors, whose sum is σ = 11055467574060. Its totient is φ = 774169804800.

The previous prime is 3006820641553. The next prime is 3006820641611. The reversal of 3006820641600 is 61460286003.

3006820641600 is a `hidden beast` number, since 3 + 0 + 0 + 6 + 8 + 2 + 0 + 6 + 41 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 38146777344 + 2968673864256 = 195312^2 + 1722984^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3182521 + ... + 4017720.

Almost surely, 2^{3006820641600} is an apocalyptic number.

3006820641600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3006820641600 is an abundant number, since it is smaller than the sum of its proper divisors (8048646932460).

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

3006820641600 is a wasteful number, since it uses less digits than its factorization.

3006820641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7200298 (or 7200280 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 3006820641600 in words is "three trillion, six billion, eight hundred twenty million, six hundred forty-one thousand, six hundred".