38427713820 has 288 divisors, whose sum is σ = 128446718400. Its totient is φ = 9625319424.

The previous prime is 38427713773. The next prime is 38427713843. The reversal of 38427713820 is 2831772483.

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 95 ways as a sum of consecutive naturals, for example, 5211096 + ... + 5218464.

It is an arithmetic number, because the mean of its divisors is an integer number (445995550).

Almost surely, 2^38427713820 is an apocalyptic number.

38427713820 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 38427713820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64223359200).

38427713820 is an abundant number, since it is smaller than the sum of its proper divisors (90019004580).

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

38427713820 is a wasteful number, since it uses less digits than its factorization.

38427713820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7459 (or 7445 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 38427713820 in words is "thirty-eight billion, four hundred twenty-seven million, seven hundred thirteen thousand, eight hundred twenty".