38411860320 has 432 divisors, whose sum is σ = 136419716160. Its totient is φ = 9839591424.

The previous prime is 38411860301. The next prime is 38411860327. The reversal of 38411860320 is 2306811483.

38411860320 is a `hidden beast` number, since 3 + 8 + 41 + 1 + 8 + 603 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38411860327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 395998512 + ... + 395998608.

It is an arithmetic number, because the mean of its divisors is an integer number (315786380).

Almost surely, 2^38411860320 is an apocalyptic number.

38411860320 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 38411860320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68209858080).

38411860320 is an abundant number, since it is smaller than the sum of its proper divisors (98007855840).

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

38411860320 is a wasteful number, since it uses less digits than its factorization.

38411860320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 38411860320 in words is "thirty-eight billion, four hundred eleven million, eight hundred sixty thousand, three hundred twenty".