3380246000100 has 720 divisors, whose sum is σ = 11501927162880. Its totient is φ = 857630592000.

The previous prime is 3380246000077. The next prime is 3380246000141. The reversal of 3380246000100 is 10006420833.

It is a happy number.

3380246000100 is a `hidden beast` number, since 3 + 38 + 0 + 24 + 600 + 0 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×3380246000100² (a number of 26 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5568773997 + ... + 5568774603.

Almost surely, 2^{3380246000100} is an apocalyptic number.

3380246000100 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 3380246000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5750963581440).

3380246000100 is an abundant number, since it is smaller than the sum of its proper divisors (8121681162780).

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

3380246000100 is a wasteful number, since it uses less digits than its factorization.

3380246000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 3380246000100 in words is "three trillion, three hundred eighty billion, two hundred forty-six million, one hundred", and thus it is an aban number.