38896118438400 has 960 divisors, whose sum is σ = 145321651200000. Its totient is φ = 10188117688320.

The previous prime is 38896118438389. The next prime is 38896118438453. The reversal of 38896118438400 is 483481169883.

38896118438400 is a `hidden beast` number, since 3 + 8 + 8 + 9 + 611 + 8 + 4 + 3 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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, 5433174021 + ... + 5433181179.

It is an arithmetic number, because the mean of its divisors is an integer number (151376720000).

Almost surely, 2^{38896118438400} is an apocalyptic number.

38896118438400 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 38896118438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72660825600000).

38896118438400 is an abundant number, since it is smaller than the sum of its proper divisors (106425532761600).

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

38896118438400 is a wasteful number, since it uses less digits than its factorization.

38896118438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7474 (or 7447 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 38896118438400 in words is "thirty-eight trillion, eight hundred ninety-six billion, one hundred eighteen million, four hundred thirty-eight thousand, four hundred".