3506771038680 has 512 divisors, whose sum is σ = 14775599462400. Its totient is φ = 719892375552.

The previous prime is 3506771038657. The next prime is 3506771038691. The reversal of 3506771038680 is 868301776053.

3506771038680 is a `hidden beast` number, since 3 + 506 + 7 + 71 + 0 + 3 + 8 + 68 + 0 = 666.

It is a super-2 number, since 2×3506771038680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3154179 + ... + 4118541.

It is an arithmetic number, because the mean of its divisors is an integer number (28858592700).

Almost surely, 2^{3506771038680} is an apocalyptic number.

3506771038680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3506771038680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7387799731200).

3506771038680 is an abundant number, since it is smaller than the sum of its proper divisors (11268828423720).

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

3506771038680 is a wasteful number, since it uses less digits than its factorization.

3506771038680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964440 (or 964430 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 3506771038680 in words is "three trillion, five hundred six billion, seven hundred seventy-one million, thirty-eight thousand, six hundred eighty".