3744828374040 has 192 divisors, whose sum is σ = 13129011735840. Its totient is φ = 920248750080.

The previous prime is 3744828374039. The next prime is 3744828374081. The reversal of 3744828374040 is 404738284473.

3744828374040 is a `hidden beast` number, since 3 + 7 + 4 + 482 + 83 + 7 + 40 + 40 = 666.

3744828374040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2100555 + ... + 3449925.

Almost surely, 2^{3744828374040} is an apocalyptic number.

3744828374040 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 3744828374040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6564505867920).

3744828374040 is an abundant number, since it is smaller than the sum of its proper divisors (9384183361800).

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

3744828374040 is a wasteful number, since it uses less digits than its factorization.

3744828374040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349994 (or 1349987 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 54.

The spelling of 3744828374040 in words is "three trillion, seven hundred forty-four billion, eight hundred twenty-eight million, three hundred seventy-four thousand, forty".