3413219890080 has 384 divisors, whose sum is σ = 14435773986816. Its totient is φ = 654683443200.

The previous prime is 3413219890079. The next prime is 3413219890117. The reversal of 3413219890080 is 800989123143.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 3071406 + ... + 4032365.

It is an arithmetic number, because the mean of its divisors is an integer number (37593161424).

Almost surely, 2^{3413219890080} is an apocalyptic number.

3413219890080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3413219890080 is an abundant number, since it is smaller than the sum of its proper divisors (11022554096736).

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

3413219890080 is a wasteful number, since it uses less digits than its factorization.

3413219890080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7103820 (or 7103812 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 3413219890080 in words is "three trillion, four hundred thirteen billion, two hundred nineteen million, eight hundred ninety thousand, eighty".