3481257351744 has 140 divisors (see below), whose sum is σ = 10321325212528. Its totient is φ = 1160218080000.

The previous prime is 3481257351709. The next prime is 3481257351749. The reversal of 3481257351744 is 4471537521843.

3481257351744 is a `hidden beast` number, since 3 + 4 + 8 + 12 + 5 + 73 + 517 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3481257351749) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31520619 + ... + 31630869.

Almost surely, 2^{3481257351744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3481257351744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5160662606264).

3481257351744 is an abundant number, since it is smaller than the sum of its proper divisors (6840067860784).

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

3481257351744 is a wasteful number, since it uses less digits than its factorization.

3481257351744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116366 (or 116347 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 3481257351744 in words is "three trillion, four hundred eighty-one billion, two hundred fifty-seven million, three hundred fifty-one thousand, seven hundred forty-four".