3706427237760 has 1920 divisors, whose sum is σ = 15133222288800. Its totient is φ = 859007877120.

The previous prime is 3706427237741. The next prime is 3706427237789. The reversal of 3706427237760 is 677327246073.

It is a happy number.

3706427237760 is a `hidden beast` number, since 3 + 70 + 6 + 427 + 23 + 77 + 60 = 666.

3706427237760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 3706427237697 and 3706427237706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 38210590032 + ... + 38210590128.

Almost surely, 2^{3706427237760} is an apocalyptic number.

3706427237760 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 3706427237760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7566611144400).

3706427237760 is an abundant number, since it is smaller than the sum of its proper divisors (11426795051040).

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

3706427237760 is a wasteful number, since it uses less digits than its factorization.

3706427237760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 12446784, while the sum is 54.

The spelling of 3706427237760 in words is "three trillion, seven hundred six billion, four hundred twenty-seven million, two hundred thirty-seven thousand, seven hundred sixty".