3396778721280 has 1728 divisors, whose sum is σ = 14525658201600. Its totient is φ = 732476473344.

The previous prime is 3396778721201. The next prime is 3396778721299. The reversal of 3396778721280 is 821278776933.

3396778721280 is a `hidden beast` number, since 3 + 396 + 77 + 87 + 21 + 2 + 80 = 666.

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, 46531215324 + ... + 46531215396.

It is an arithmetic number, because the mean of its divisors is an integer number (8406052200).

Almost surely, 2^{3396778721280} is an apocalyptic number.

3396778721280 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 3396778721280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7262829100800).

3396778721280 is an abundant number, since it is smaller than the sum of its proper divisors (11128879480320).

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

3396778721280 is an frugal number, since it uses more digits than its factorization.

3396778721280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 3396778721280 in words is "three trillion, three hundred ninety-six billion, seven hundred seventy-eight million, seven hundred twenty-one thousand, two hundred eighty".