3356865146880 has 2496 divisors, whose sum is σ = 14837971599360. Its totient is φ = 685139558400.

The previous prime is 3356865146819. The next prime is 3356865146977. The reversal of 3356865146880 is 886415686533.

3356865146880 is a `hidden beast` number, since 3 + 3 + 56 + 8 + 6 + 514 + 68 + 8 + 0 = 666.

It is a super-2 number, since 2×3356865146880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 37717585876 + ... + 37717585964.

It is an arithmetic number, because the mean of its divisors is an integer number (5944700160).

Almost surely, 2^{3356865146880} is an apocalyptic number.

3356865146880 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 3356865146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7418985799680).

3356865146880 is an abundant number, since it is smaller than the sum of its proper divisors (11481106452480).

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

3356865146880 is a wasteful number, since it uses less digits than its factorization.

3356865146880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 3356865146880 in words is "three trillion, three hundred fifty-six billion, eight hundred sixty-five million, one hundred forty-six thousand, eight hundred eighty".