3378511741920 has 384 divisors, whose sum is σ = 12703107916800. Its totient is φ = 738623619072.

The previous prime is 3378511741879. The next prime is 3378511741967. The reversal of 3378511741920 is 291471158733.

3378511741920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3378511741920² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7104576 + ... + 7565184.

It is an arithmetic number, because the mean of its divisors is an integer number (33081010200).

Almost surely, 2^{3378511741920} is an apocalyptic number.

3378511741920 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 3378511741920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6351553958400).

3378511741920 is an abundant number, since it is smaller than the sum of its proper divisors (9324596174880).

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

3378511741920 is a wasteful number, since it uses less digits than its factorization.

3378511741920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460730 (or 460722 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 3378511741920 in words is "three trillion, three hundred seventy-eight billion, five hundred eleven million, seven hundred forty-one thousand, nine hundred twenty".