3396779020800 has 3840 divisors, whose sum is σ = 15548604825600. Its totient is φ = 716636160000.

The previous prime is 3396779020783. The next prime is 3396779020801. The reversal of 3396779020800 is 80209776933.

3396779020800 is a `hidden beast` number, since 3 + 396 + 77 + 90 + 20 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×3396779020800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3396779020801) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 82848268780 + ... + 82848268820.

It is an arithmetic number, because the mean of its divisors is an integer number (4049115840).

Almost surely, 2^{3396779020800} is an apocalyptic number.

3396779020800 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 3396779020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7774302412800).

3396779020800 is an abundant number, since it is smaller than the sum of its proper divisors (12151825804800).

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

3396779020800 is a wasteful number, since it uses less digits than its factorization.

3396779020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 3396779020800 in words is "three trillion, three hundred ninety-six billion, seven hundred seventy-nine million, twenty thousand, eight hundred".