3988737640000 has 560 divisors, whose sum is σ = 10827887716800. Its totient is φ = 1452100608000.

The previous prime is 3988737639947. The next prime is 3988737640001. The reversal of 3988737640000 is 467378893.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3988737640001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2333959146 + ... + 2333960854.

It is an arithmetic number, because the mean of its divisors is an integer number (19335513780).

Almost surely, 2^{3988737640000} 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 3988737640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5413943858400).

3988737640000 is an abundant number, since it is smaller than the sum of its proper divisors (6839150076800).

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

3988737640000 is a wasteful number, since it uses less digits than its factorization.

3988737640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 55.

The spelling of 3988737640000 in words is "three trillion, nine hundred eighty-eight billion, seven hundred thirty-seven million, six hundred forty thousand".