3981675737088 has 624 divisors, whose sum is σ = 14057482007520. Its totient is φ = 1109812838400.

The previous prime is 3981675737069. The next prime is 3981675737099. The reversal of 3981675737088 is 8807375761893.

3981675737088 is a `hidden beast` number, since 3 + 98 + 167 + 5 + 7 + 370 + 8 + 8 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

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, 222170368 + ... + 222188288.

Almost surely, 2^{3981675737088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3981675737088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7028741003760).

3981675737088 is an abundant number, since it is smaller than the sum of its proper divisors (10075806270432).

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

3981675737088 is a wasteful number, since it uses less digits than its factorization.

3981675737088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18009 (or 17974 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 3981675737088 in words is "three trillion, nine hundred eighty-one billion, six hundred seventy-five million, seven hundred thirty-seven thousand, eighty-eight".