3487116962240 has 224 divisors, whose sum is σ = 8629097702400. Its totient is φ = 1341278392320.

The previous prime is 3487116962227. The next prime is 3487116962249. The reversal of 3487116962240 is 422696117843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3487116962249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1155055451 + ... + 1155058469.

It is an arithmetic number, because the mean of its divisors is an integer number (38522757600).

Almost surely, 2^{3487116962240} 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 3487116962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4314548851200).

3487116962240 is an abundant number, since it is smaller than the sum of its proper divisors (5141980740160).

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

3487116962240 is a wasteful number, since it uses less digits than its factorization.

3487116962240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4403 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 3487116962240 in words is "three trillion, four hundred eighty-seven billion, one hundred sixteen million, nine hundred sixty-two thousand, two hundred forty".