3706101316764 has 288 divisors, whose sum is σ = 12207825616896. Its totient is φ = 955041554880.

The previous prime is 3706101316759. The next prime is 3706101316783. The reversal of 3706101316764 is 4676131016073.

3706101316764 is a `hidden beast` number, since 3 + 7 + 0 + 610 + 13 + 16 + 7 + 6 + 4 = 666.

It is a super-4 number, since 4×3706101316764⁴ (a number of 51 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9310237 + ... + 9700139.

It is an arithmetic number, because the mean of its divisors is an integer number (42388283392).

Almost surely, 2^{3706101316764} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3706101316764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6103912808448).

3706101316764 is an abundant number, since it is smaller than the sum of its proper divisors (8501724300132).

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

3706101316764 is a wasteful number, since it uses less digits than its factorization.

3706101316764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390067 (or 390053 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 3706101316764 in words is "three trillion, seven hundred six billion, one hundred one million, three hundred sixteen thousand, seven hundred sixty-four".