38406953520 has 600 divisors, whose sum is σ = 153014152896. Its totient is φ = 8893587456.

The previous prime is 38406953513. The next prime is 38406953521. The reversal of 38406953520 is 2535960483.

38406953520 is a `hidden beast` number, since 38 + 4 + 0 + 6 + 95 + 3 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (38406953521) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 18616009 + ... + 18618071.

Almost surely, 2^38406953520 is an apocalyptic number.

38406953520 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 38406953520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76507076448).

38406953520 is an abundant number, since it is smaller than the sum of its proper divisors (114607199376).

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

38406953520 is a wasteful number, since it uses less digits than its factorization.

38406953520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 38406953520 in words is "thirty-eight billion, four hundred six million, nine hundred fifty-three thousand, five hundred twenty".