3460124660040 has 96 divisors (see below), whose sum is σ = 11245798582200. Its totient is φ = 922667627520.

The previous prime is 3460124660039. The next prime is 3460124660051. The reversal of 3460124660040 is 400664210643.

3460124660040 is a `hidden beast` number, since 3 + 4 + 6 + 0 + 1 + 2 + 4 + 6 + 600 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2840714735364 + 619409924676 = 1685442^2 + 787026^2 .

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 = 3460124659977 and 3460124660004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11202396 + ... + 11507124.

Almost surely, 2^{3460124660040} is an apocalyptic number.

3460124660040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3460124660040 is an abundant number, since it is smaller than the sum of its proper divisors (7785673922160).

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

3460124660040 is a wasteful number, since it uses less digits than its factorization.

3460124660040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336287 (or 336280 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 3460124660040 its reverse (400664210643), we get a palindrome (3860788870683).

The spelling of 3460124660040 in words is "three trillion, four hundred sixty billion, one hundred twenty-four million, six hundred sixty thousand, forty".