3387754496640 has 256 divisors, whose sum is σ = 10879181280000. Its totient is φ = 896658014208.

The previous prime is 3387754496611. The next prime is 3387754496681. The reversal of 3387754496640 is 466944577833.

It is a super-2 number, since 2×3387754496640² (a number of 26 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 459726876 + ... + 459734244.

It is an arithmetic number, because the mean of its divisors is an integer number (42496801875).

Almost surely, 2^{3387754496640} is an apocalyptic number.

3387754496640 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 3387754496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5439590640000).

3387754496640 is an abundant number, since it is smaller than the sum of its proper divisors (7491426783360).

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

3387754496640 is a wasteful number, since it uses less digits than its factorization.

3387754496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9147 (or 9135 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 66.

The spelling of 3387754496640 in words is "three trillion, three hundred eighty-seven billion, seven hundred fifty-four million, four hundred ninety-six thousand, six hundred forty".