3758186540160 has 1024 divisors, whose sum is σ = 15258922560000. Its totient is φ = 865993752576.

The previous prime is 3758186540137. The next prime is 3758186540167. The reversal of 3758186540160 is 610456818573.

It is a happy number.

3758186540160 is a `hidden beast` number, since 3 + 7 + 5 + 8 + 1 + 86 + 540 + 16 + 0 = 666.

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 = 3758186540097 and 3758186540106.

It is not an unprimeable number, because it can be changed into a prime (3758186540167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 737041291 + ... + 737046389.

Almost surely, 2^{3758186540160} is an apocalyptic number.

3758186540160 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 3758186540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7629461280000).

3758186540160 is an abundant number, since it is smaller than the sum of its proper divisors (11500736019840).

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

3758186540160 is a wasteful number, since it uses less digits than its factorization.

3758186540160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5350 (or 5332 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 3758186540160 in words is "three trillion, seven hundred fifty-eight billion, one hundred eighty-six million, five hundred forty thousand, one hundred sixty".