3481291390080 has 512 divisors, whose sum is σ = 12952841932800. Its totient is φ = 778897244160.

The previous prime is 3481291390079. The next prime is 3481291390081. The reversal of 3481291390080 is 800931921843.

It is an interprime number because it is at equal distance from previous prime (3481291390079) and next prime (3481291390081).

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

It is not an unprimeable number, because it can be changed into a prime (3481291390081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121577365 + ... + 121605995.

It is an arithmetic number, because the mean of its divisors is an integer number (25298519400).

Almost surely, 2^{3481291390080} is an apocalyptic number.

3481291390080 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 3481291390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6476420966400).

3481291390080 is an abundant number, since it is smaller than the sum of its proper divisors (9471550542720).

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

3481291390080 is a wasteful number, since it uses less digits than its factorization.

3481291390080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28852 (or 28840 counting only the distinct ones).

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

The spelling of 3481291390080 in words is "three trillion, four hundred eighty-one billion, two hundred ninety-one million, three hundred ninety thousand, eighty".