3782952339840 has 512 divisors, whose sum is σ = 14167551283200. Its totient is φ = 952429363200.

The previous prime is 3782952339839. The next prime is 3782952339853. The reversal of 3782952339840 is 489332592873.

3782952339840 is a `hidden beast` number, since 3 + 7 + 8 + 29 + 523 + 3 + 9 + 84 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21876759 + ... + 22049001.

It is an arithmetic number, because the mean of its divisors is an integer number (27670998600).

Almost surely, 2^{3782952339840} is an apocalyptic number.

3782952339840 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 3782952339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7083775641600).

3782952339840 is an abundant number, since it is smaller than the sum of its proper divisors (10384598943360).

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

3782952339840 is a wasteful number, since it uses less digits than its factorization.

3782952339840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172343 (or 172325 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 3782952339840 in words is "three trillion, seven hundred eighty-two billion, nine hundred fifty-two million, three hundred thirty-nine thousand, eight hundred forty".