3378529566720 has 1728 divisors, whose sum is σ = 15028167458304. Its totient is φ = 681742172160.

The previous prime is 3378529566691. The next prime is 3378529566751. The reversal of 3378529566720 is 276659258733.

It is a happy number.

3378529566720 is a `hidden beast` number, since 3 + 37 + 8 + 529 + 5 + 6 + 6 + 72 + 0 = 666.

It is a super-2 number, since 2×3378529566720² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19529072554 + ... + 19529072726.

It is an arithmetic number, because the mean of its divisors is an integer number (8696856168).

Almost surely, 2^{3378529566720} is an apocalyptic number.

3378529566720 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 3378529566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7514083729152).

3378529566720 is an abundant number, since it is smaller than the sum of its proper divisors (11649637891584).

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

3378529566720 is a wasteful number, since it uses less digits than its factorization.

3378529566720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 3378529566720 in words is "three trillion, three hundred seventy-eight billion, five hundred twenty-nine million, five hundred sixty-six thousand, seven hundred twenty".