3786986982240 has 768 divisors, whose sum is σ = 16971711805440. Its totient is φ = 765636157440.

The previous prime is 3786986982239. The next prime is 3786986982253. The reversal of 3786986982240 is 422896896873.

3786986982240 is a `hidden beast` number, since 378 + 6 + 9 + 8 + 6 + 9 + 8 + 2 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 127 ways as a sum of consecutive naturals, for example, 12153834 + ... + 12461526.

It is an arithmetic number, because the mean of its divisors is an integer number (22098583080).

Almost surely, 2^{3786986982240} is an apocalyptic number.

3786986982240 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 3786986982240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8485855902720).

3786986982240 is an abundant number, since it is smaller than the sum of its proper divisors (13184724823200).

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

3786986982240 is a wasteful number, since it uses less digits than its factorization.

3786986982240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307772 (or 307758 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 3786986982240 in words is "three trillion, seven hundred eighty-six billion, nine hundred eighty-six million, nine hundred eighty-two thousand, two hundred forty".