3481914993420 has 96 divisors (see below), whose sum is σ = 9853689182400. Its totient is φ = 918582165504.

The previous prime is 3481914993419. The next prime is 3481914993437. The reversal of 3481914993420 is 243994191843.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15069726 + ... + 15299034.

It is an arithmetic number, because the mean of its divisors is an integer number (102642595650).

Almost surely, 2^{3481914993420} is an apocalyptic number.

3481914993420 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 3481914993420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4926844591200).

3481914993420 is an abundant number, since it is smaller than the sum of its proper divisors (6371774188980).

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

3481914993420 is a wasteful number, since it uses less digits than its factorization.

3481914993420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232027 (or 232025 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 3481914993420 in words is "three trillion, four hundred eighty-one billion, nine hundred fourteen million, nine hundred ninety-three thousand, four hundred twenty".