3534313152240 has 160 divisors (see below), whose sum is σ = 13110187352640. Its totient is φ = 869984769024.

The previous prime is 3534313152217. The next prime is 3534313152247. The reversal of 3534313152240 is 422513134353.

3534313152240 is a `hidden beast` number, since 3 + 5 + 34 + 31 + 31 + 522 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3534313152195 and 3534313152204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3534313152247) 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, 62904847 + ... + 62961006.

It is an arithmetic number, because the mean of its divisors is an integer number (81938670954).

Almost surely, 2^{3534313152240} is an apocalyptic number.

3534313152240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3534313152240 is an abundant number, since it is smaller than the sum of its proper divisors (9575874200400).

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

3534313152240 is a wasteful number, since it uses less digits than its factorization.

3534313152240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125865888 (or 125865876 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 3534313152240 its reverse (422513134353), we get a palindrome (3956826286593).

The spelling of 3534313152240 in words is "three trillion, five hundred thirty-four billion, three hundred thirteen million, one hundred fifty-two thousand, two hundred forty".