38064770469600 has 1152 divisors, whose sum is σ = 150083194060800. Its totient is φ = 8367287040000.

The previous prime is 38064770469559. The next prime is 38064770469613. The reversal of 38064770469600 is 696407746083.

It is a happy number.

38064770469600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4159625025 + ... + 4159634175.

It is an arithmetic number, because the mean of its divisors is an integer number (130280550400).

Almost surely, 2^{38064770469600} is an apocalyptic number.

38064770469600 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 38064770469600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75041597030400).

38064770469600 is an abundant number, since it is smaller than the sum of its proper divisors (112018423591200).

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

38064770469600 is a wasteful number, since it uses less digits than its factorization.

38064770469600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9389 (or 9362 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 60.

The spelling of 38064770469600 in words is "thirty-eight trillion, sixty-four billion, seven hundred seventy million, four hundred sixty-nine thousand, six hundred".