3487714951680 has 800 divisors, whose sum is σ = 13425032814336. Its totient is φ = 862224777216.

The previous prime is 3487714951627. The next prime is 3487714951681. The reversal of 3487714951680 is 861594177843.

3487714951680 is a `hidden beast` number, since 3 + 4 + 8 + 7 + 71 + 49 + 516 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (3487714951681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 236175657 + ... + 236190423.

Almost surely, 2^{3487714951680} is an apocalyptic number.

3487714951680 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 3487714951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6712516407168).

3487714951680 is an abundant number, since it is smaller than the sum of its proper divisors (9937317862656).

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

3487714951680 is a wasteful number, since it uses less digits than its factorization.

3487714951680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14886 (or 14861 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 3487714951680 in words is "three trillion, four hundred eighty-seven billion, seven hundred fourteen million, nine hundred fifty-one thousand, six hundred eighty".