3416667660756 has 432 divisors, whose sum is σ = 10652642320320. Its totient is φ = 918086400000.

The previous prime is 3416667660613. The next prime is 3416667660767. The reversal of 3416667660756 is 6570667666143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 3416667660693 and 3416667660702.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 3878169436 + ... + 3878170316.

It is an arithmetic number, because the mean of its divisors is an integer number (24658894260).

Almost surely, 2^{3416667660756} is an apocalyptic number.

3416667660756 is a gapful number since it is divisible by the number (36) 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 3416667660756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5326321160160).

3416667660756 is an abundant number, since it is smaller than the sum of its proper divisors (7235974659564).

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

3416667660756 is a wasteful number, since it uses less digits than its factorization.

3416667660756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 3416667660756 in words is "three trillion, four hundred sixteen billion, six hundred sixty-seven million, six hundred sixty thousand, seven hundred fifty-six".