38994801120 has 288 divisors, whose sum is σ = 148545581184. Its totient is φ = 9233280000.

The previous prime is 38994801103. The next prime is 38994801149. The reversal of 38994801120 is 2110849983.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 652495 + ... + 709745.

It is an arithmetic number, because the mean of its divisors is an integer number (515783268).

Almost surely, 2^38994801120 is an apocalyptic number.

38994801120 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 38994801120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74272790592).

38994801120 is an abundant number, since it is smaller than the sum of its proper divisors (109550780064).

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

38994801120 is a wasteful number, since it uses less digits than its factorization.

38994801120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57326 (or 57315 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 38994801120 in words is "thirty-eight billion, nine hundred ninety-four million, eight hundred one thousand, one hundred twenty".