3390745030080 has 448 divisors, whose sum is σ = 11386599211008. Its totient is φ = 853145948160.

The previous prime is 3390745030063. The next prime is 3390745030097. The reversal of 3390745030080 is 800305470933.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3390745030063) and next prime (3390745030097).

It is a super-2 number, since 2×3390745030080² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1816145307 + ... + 1816147173.

It is an arithmetic number, because the mean of its divisors is an integer number (25416516096).

Almost surely, 2^{3390745030080} is an apocalyptic number.

3390745030080 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 3390745030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5693299605504).

3390745030080 is an abundant number, since it is smaller than the sum of its proper divisors (7995854180928).

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

3390745030080 is a wasteful number, since it uses less digits than its factorization.

3390745030080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2984 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 3390745030080 in words is "three trillion, three hundred ninety billion, seven hundred forty-five million, thirty thousand, eighty".