3735973741248 has 784 divisors, whose sum is σ = 12977171651904. Its totient is φ = 1044586782720.

The previous prime is 3735973741243. The next prime is 3735973741277. The reversal of 3735973741248 is 8421473795373.

3735973741248 is a `hidden beast` number, since 3 + 7 + 3 + 597 + 37 + 4 + 1 + 2 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3735973741243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5518424686 + ... + 5518425362.

Almost surely, 2^{3735973741248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3735973741248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6488585825952).

3735973741248 is an abundant number, since it is smaller than the sum of its proper divisors (9241197910656).

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

3735973741248 is an equidigital number, since it uses as much as digits as its factorization.

3735973741248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1027 counting only the distinct ones).

The product of its digits is 106686720, while the sum is 63.

The spelling of 3735973741248 in words is "three trillion, seven hundred thirty-five billion, nine hundred seventy-three million, seven hundred forty-one thousand, two hundred forty-eight".