38405651520 has 224 divisors, whose sum is σ = 129075972480. Its totient is φ = 9648046080.

The previous prime is 38405651491. The next prime is 38405651527. The reversal of 38405651520 is 2515650483.

It is not an unprimeable number, because it can be changed into a prime (38405651527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3295624 + ... + 3307256.

It is an arithmetic number, because the mean of its divisors is an integer number (576232020).

Almost surely, 2^38405651520 is an apocalyptic number.

38405651520 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 38405651520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64537986240).

38405651520 is an abundant number, since it is smaller than the sum of its proper divisors (90670320960).

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

38405651520 is a wasteful number, since it uses less digits than its factorization.

38405651520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11853 (or 11843 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 38405651520 in words is "thirty-eight billion, four hundred five million, six hundred fifty-one thousand, five hundred twenty".