3748659665940 has 144 divisors (see below), whose sum is σ = 12999740557440. Its totient is φ = 856547239680.

The previous prime is 3748659665911. The next prime is 3748659665951. The reversal of 3748659665940 is 495669568473.

3748659665940 is a `hidden beast` number, since 3 + 7 + 486 + 5 + 96 + 6 + 59 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3242766 + ... + 4244154.

Almost surely, 2^{3748659665940} is an apocalyptic number.

3748659665940 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 3748659665940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499870278720).

3748659665940 is an abundant number, since it is smaller than the sum of its proper divisors (9251080891500).

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

3748659665940 is a wasteful number, since it uses less digits than its factorization.

3748659665940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004382 (or 1004377 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 3748659665940 in words is "three trillion, seven hundred forty-eight billion, six hundred fifty-nine million, six hundred sixty-five thousand, nine hundred forty".