3407219749920 has 192 divisors, whose sum is σ = 12269011749120. Its totient is φ = 778601299968.

The previous prime is 3407219749919. The next prime is 3407219749939. The reversal of 3407219749920 is 299479127043.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 13750644 + ... + 13996236.

It is an arithmetic number, because the mean of its divisors is an integer number (63901102860).

Almost surely, 2^{3407219749920} is an apocalyptic number.

3407219749920 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 3407219749920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6134505874560).

3407219749920 is an abundant number, since it is smaller than the sum of its proper divisors (8861791999200).

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

3407219749920 is a wasteful number, since it uses less digits than its factorization.

3407219749920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249747 (or 249739 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The spelling of 3407219749920 in words is "three trillion, four hundred seven billion, two hundred nineteen million, seven hundred forty-nine thousand, nine hundred twenty".