3300775820160 has 1024 divisors, whose sum is σ = 13640804352000. Its totient is φ = 673907834880.

The previous prime is 3300775820113. The next prime is 3300775820171. The reversal of 3300775820160 is 610285770033.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 265393462 + ... + 265405898.

It is an arithmetic number, because the mean of its divisors is an integer number (13321098000).

Almost surely, 2^{3300775820160} is an apocalyptic number.

3300775820160 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 3300775820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6820402176000).

3300775820160 is an abundant number, since it is smaller than the sum of its proper divisors (10340028531840).

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

3300775820160 is a wasteful number, since it uses less digits than its factorization.

3300775820160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12524 (or 12498 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 3300775820160 in words is "three trillion, three hundred billion, seven hundred seventy-five million, eight hundred twenty thousand, one hundred sixty".