3742307205120 has 1800 divisors, whose sum is σ = 15186796732800. Its totient is φ = 880560046080.

The previous prime is 3742307205059. The next prime is 3742307205121. The reversal of 3742307205120 is 215027032473.

3742307205120 is a `hidden beast` number, since 3 + 7 + 42 + 30 + 72 + 0 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3742307205121) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 47370977241 + ... + 47370977319.

It is an arithmetic number, because the mean of its divisors is an integer number (8437109296).

Almost surely, 2^{3742307205120} is an apocalyptic number.

3742307205120 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 3742307205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7593398366400).

3742307205120 is an abundant number, since it is smaller than the sum of its proper divisors (11444489527680).

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

3742307205120 is an equidigital number, since it uses as much as digits as its factorization.

3742307205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 3742307205120 in words is "three trillion, seven hundred forty-two billion, three hundred seven million, two hundred five thousand, one hundred twenty".