3758734665840 has 320 divisors, whose sum is σ = 14548899382272. Its totient is φ = 779872665600.

The previous prime is 3758734665817. The next prime is 3758734665853. The reversal of 3758734665840 is 485664378573.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 63 ways as a sum of consecutive naturals, for example, 12285930 + ... + 12588150.

Almost surely, 2^{3758734665840} is an apocalyptic number.

3758734665840 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 3758734665840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7274449691136).

3758734665840 is an abundant number, since it is smaller than the sum of its proper divisors (10790164716432).

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

3758734665840 is a wasteful number, since it uses less digits than its factorization.

3758734665840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302928 (or 302922 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 66.

The spelling of 3758734665840 in words is "three trillion, seven hundred fifty-eight billion, seven hundred thirty-four million, six hundred sixty-five thousand, eight hundred forty".