3346400640000 has 1320 divisors, whose sum is σ = 12842247065472. Its totient is φ = 766627840000.

The previous prime is 3346400639983. The next prime is 3346400640029. The reversal of 3346400640000 is 460046433.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a super-2 number, since 2×3346400640000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 3346400640000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 40318079959 + ... + 40318080041.

Almost surely, 2^{3346400640000} is an apocalyptic number.

3346400640000 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 3346400640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6421123532736).

3346400640000 is an abundant number, since it is smaller than the sum of its proper divisors (9495846425472).

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

3346400640000 is an equidigital number, since it uses as much as digits as its factorization.

3346400640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 3346400640000 its reverse (460046433), we get a palindrome (3346860686433).

The spelling of 3346400640000 in words is "three trillion, three hundred forty-six billion, four hundred million, six hundred forty thousand".