3420736038720 has 3584 divisors, whose sum is σ = 17333161574400. Its totient is φ = 619173642240.

The previous prime is 3420736038689. The next prime is 3420736038767. The reversal of 3420736038720 is 278306370243.

3420736038720 is a `hidden beast` number, since 3 + 4 + 207 + 3 + 60 + 387 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 511 ways as a sum of consecutive naturals, for example, 13310256832 + ... + 13310257088.

It is an arithmetic number, because the mean of its divisors is an integer number (4836261600).

Almost surely, 2^{3420736038720} is an apocalyptic number.

3420736038720 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 3420736038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8666580787200).

3420736038720 is an abundant number, since it is smaller than the sum of its proper divisors (13912425535680).

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

3420736038720 is a wasteful number, since it uses less digits than its factorization.

3420736038720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 3420736038720 in words is "three trillion, four hundred twenty billion, seven hundred thirty-six million, thirty-eight thousand, seven hundred twenty".