3728097740640 has 2304 divisors, whose sum is σ = 16210203770880. Its totient is φ = 711082229760.

The previous prime is 3728097740623. The next prime is 3728097740663. The reversal of 3728097740640 is 460477908273.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22871765199 + ... + 22871765361.

It is an arithmetic number, because the mean of its divisors is an integer number (7035678720).

Almost surely, 2^{3728097740640} is an apocalyptic number.

3728097740640 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 3728097740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8105101885440).

3728097740640 is an abundant number, since it is smaller than the sum of its proper divisors (12482106030240).

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

3728097740640 is a wasteful number, since it uses less digits than its factorization.

3728097740640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 57.

The spelling of 3728097740640 in words is "three trillion, seven hundred twenty-eight billion, ninety-seven million, seven hundred forty thousand, six hundred forty".