3540888688464 has 120 divisors (see below), whose sum is σ = 10010301461160. Its totient is φ = 1168325738496.

The previous prime is 3540888688451. The next prime is 3540888688483. The reversal of 3540888688464 is 4648868880453.

3540888688464 is a `hidden beast` number, since 3 + 5 + 4 + 0 + 8 + 8 + 86 + 88 + 464 = 666.

3540888688464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7240648464 + 3533648040000 = 85092^2 + 1879800^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3540888688392 and 3540888688401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12371682 + ... + 12654654.

It is an arithmetic number, because the mean of its divisors is an integer number (83419178843).

Almost surely, 2^{3540888688464} 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 3540888688464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5005150730580).

3540888688464 is an abundant number, since it is smaller than the sum of its proper divisors (6469412772696).

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

3540888688464 is a wasteful number, since it uses less digits than its factorization.

3540888688464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283869 (or 283860 counting only the distinct ones).

The product of its (nonzero) digits is 1132462080, while the sum is 72.

The spelling of 3540888688464 in words is "three trillion, five hundred forty billion, eight hundred eighty-eight million, six hundred eighty-eight thousand, four hundred sixty-four".