3389797706400 has 1728 divisors, whose sum is σ = 15264273024000. Its totient is φ = 716725739520.

The previous prime is 3389797706359. The next prime is 3389797706459. The reversal of 3389797706400 is 46077979833.

3389797706400 is a `hidden beast` number, since 338 + 97 + 97 + 70 + 64 + 0 + 0 = 666.

It is a super-2 number, since 2×3389797706400² (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 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 287 ways as a sum of consecutive naturals, for example, 1111772076 + ... + 1111775124.

Almost surely, 2^{3389797706400} is an apocalyptic number.

3389797706400 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 3389797706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7632136512000).

3389797706400 is an abundant number, since it is smaller than the sum of its proper divisors (11874475317600).

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

3389797706400 is a wasteful number, since it uses less digits than its factorization.

3389797706400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 3389797706400 in words is "three trillion, three hundred eighty-nine billion, seven hundred ninety-seven million, seven hundred six thousand, four hundred".