3478140961488 has 240 divisors, whose sum is σ = 9939983264640. Its totient is φ = 1135076760576.

The previous prime is 3478140961483. The next prime is 3478140961513. The reversal of 3478140961488 is 8841690418743.

3478140961488 is a `hidden beast` number, since 3 + 4 + 7 + 8 + 1 + 4 + 0 + 9 + 614 + 8 + 8 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3478140961483) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1291547470 + ... + 1291550162.

It is an arithmetic number, because the mean of its divisors is an integer number (41416596936).

Almost surely, 2^{3478140961488} 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 3478140961488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4969991632320).

3478140961488 is an abundant number, since it is smaller than the sum of its proper divisors (6461842303152).

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

3478140961488 is a wasteful number, since it uses less digits than its factorization.

3478140961488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 3478140961488 in words is "three trillion, four hundred seventy-eight billion, one hundred forty million, nine hundred sixty-one thousand, four hundred eighty-eight".