3506025162640 has 160 divisors (see below), whose sum is σ = 10944682995456. Its totient is φ = 1008726497280.

The previous prime is 3506025162637. The next prime is 3506025162643. The reversal of 3506025162640 is 462615206053.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3506025162637) and next prime (3506025162643).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3506025162593 and 3506025162602.

It is not an unprimeable number, because it can be changed into a prime (3506025162643) 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 31 ways as a sum of consecutive naturals, for example, 21810687 + ... + 21970846.

Almost surely, 2^{3506025162640} is an apocalyptic number.

It is an amenable number.

3506025162640 is an abundant number, since it is smaller than the sum of its proper divisors (7438657832816).

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

3506025162640 is a wasteful number, since it uses less digits than its factorization.

3506025162640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43781577 (or 43781571 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 3506025162640 in words is "three trillion, five hundred six billion, twenty-five million, one hundred sixty-two thousand, six hundred forty".