3740609972160 has 224 divisors, whose sum is σ = 13221288142080. Its totient is φ = 995587531776.

The previous prime is 3740609972153. The next prime is 3740609972161. The reversal of 3740609972160 is 612799060473.

It is a happy number.

3740609972160 is a `hidden beast` number, since 3 + 7 + 4 + 0 + 609 + 9 + 7 + 21 + 6 + 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 = 3740609972097 and 3740609972106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3740609972161) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4104819 + ... + 4932621.

Almost surely, 2^{3740609972160} is an apocalyptic number.

3740609972160 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 3740609972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6610644071040).

3740609972160 is an abundant number, since it is smaller than the sum of its proper divisors (9480678169920).

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

3740609972160 is a wasteful number, since it uses less digits than its factorization.

3740609972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828352 (or 828336 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 3740609972160 in words is "three trillion, seven hundred forty billion, six hundred nine million, nine hundred seventy-two thousand, one hundred sixty".