38242059878400 has 2448 divisors, whose sum is σ = 158527249767360. Its totient is φ = 8085779251200.

The previous prime is 38242059878389. The next prime is 38242059878431. The reversal of 38242059878400 is 487895024283.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 279139123132 + ... + 279139123268.

Almost surely, 2^{38242059878400} is an apocalyptic number.

38242059878400 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 38242059878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79263624883680).

38242059878400 is an abundant number, since it is smaller than the sum of its proper divisors (120285189888960).

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

38242059878400 is a wasteful number, since it uses less digits than its factorization.

38242059878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 60.

The spelling of 38242059878400 in words is "thirty-eight trillion, two hundred forty-two billion, fifty-nine million, eight hundred seventy-eight thousand, four hundred".