3748507197120 has 1008 divisors, whose sum is σ = 16716610366560. Its totient is φ = 763950071808.

The previous prime is 3748507197091. The next prime is 3748507197121. The reversal of 3748507197120 is 217917058473.

3748507197120 is a `hidden beast` number, since 3 + 7 + 4 + 8 + 507 + 1 + 9 + 7 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is not an unprimeable number, because it can be changed into a prime (3748507197121) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45540642 + ... + 45622878.

Almost surely, 2^{3748507197120} is an apocalyptic number.

3748507197120 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 3748507197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8358305183280).

3748507197120 is an abundant number, since it is smaller than the sum of its proper divisors (12968103169440).

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

3748507197120 is a wasteful number, since it uses less digits than its factorization.

3748507197120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82310 (or 82290 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 3748507197120 in words is "three trillion, seven hundred forty-eight billion, five hundred seven million, one hundred ninety-seven thousand, one hundred twenty".