3506511780387 has 64 divisors (see below), whose sum is σ = 6509220864000. Its totient is φ = 1812410756640.

The previous prime is 3506511780371. The next prime is 3506511780407. The reversal of 3506511780387 is 7830871156053.

3506511780387 is a `hidden beast` number, since 3 + 50 + 6 + 511 + 78 + 0 + 3 + 8 + 7 = 666.

It is not a de Polignac number, because 3506511780387 - 2⁴ = 3506511780371 is a prime.

It is a super-3 number, since 3×3506511780387³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3506511780287) 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 63 ways as a sum of consecutive naturals, for example, 3824053 + ... + 4651494.

It is an arithmetic number, because the mean of its divisors is an integer number (101706576000).

Almost surely, 2^{3506511780387} is an apocalyptic number.

3506511780387 is a deficient number, since it is larger than the sum of its proper divisors (3002709083613).

3506511780387 is a wasteful number, since it uses less digits than its factorization.

3506511780387 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8475773 (or 8475767 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 3506511780387 in words is "three trillion, five hundred six billion, five hundred eleven million, seven hundred eighty thousand, three hundred eighty-seven".