3759986274240 has 336 divisors, whose sum is σ = 13890518433792. Its totient is φ = 859208361984.

The previous prime is 3759986274229. The next prime is 3759986274307. The reversal of 3759986274240 is 424726899573.

It is a tau number, because it is divible by the number of its divisors (336).

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, 254337889 + ... + 254352671.

It is an arithmetic number, because the mean of its divisors is an integer number (41340828672).

Almost surely, 2^{3759986274240} is an apocalyptic number.

3759986274240 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 3759986274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6945259216896).

3759986274240 is an abundant number, since it is smaller than the sum of its proper divisors (10130532159552).

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

3759986274240 is a wasteful number, since it uses less digits than its factorization.

3759986274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20224 (or 20207 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 66.

The spelling of 3759986274240 in words is "three trillion, seven hundred fifty-nine billion, nine hundred eighty-six million, two hundred seventy-four thousand, two hundred forty".