3754729671840 has 2304 divisors, whose sum is σ = 16568839526400. Its totient is φ = 790091366400.

The previous prime is 3754729671829. The next prime is 3754729671853. The reversal of 3754729671840 is 481769274573.

3754729671840 is a `hidden beast` number, since 3 + 7 + 5 + 472 + 96 + 71 + 8 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13855090905 + ... + 13855091175.

It is an arithmetic number, because the mean of its divisors is an integer number (7191336600).

It is a 1-persistent number, because it is pandigital, but 2⋅3754729671840 = 7509459343680 is not.

Almost surely, 2^{3754729671840} is an apocalyptic number.

3754729671840 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 3754729671840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8284419763200).

3754729671840 is an abundant number, since it is smaller than the sum of its proper divisors (12814109854560).

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

3754729671840 is a wasteful number, since it uses less digits than its factorization.

3754729671840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 3754729671840 in words is "three trillion, seven hundred fifty-four billion, seven hundred twenty-nine million, six hundred seventy-one thousand, eight hundred forty".