3798987729600 has 336 divisors, whose sum is σ = 14253355052288. Its totient is φ = 867793858560.

The previous prime is 3798987729577. The next prime is 3798987729617. The reversal of 3798987729600 is 69277898973.

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

It is a Harshad number since it is a multiple of its sum of digits (75).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54632454 + ... + 54701946.

Almost surely, 2^{3798987729600} is an apocalyptic number.

3798987729600 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 3798987729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7126677526144).

3798987729600 is an abundant number, since it is smaller than the sum of its proper divisors (10454367322688).

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

3798987729600 is a wasteful number, since it uses less digits than its factorization.

3798987729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71152 (or 71137 counting only the distinct ones).

The product of its (nonzero) digits is 576108288, while the sum is 75.

The spelling of 3798987729600 in words is "three trillion, seven hundred ninety-eight billion, nine hundred eighty-seven million, seven hundred twenty-nine thousand, six hundred".