38401125515028 has 192 divisors, whose sum is σ = 107251716096000. Its totient is φ = 11843864696448.

The previous prime is 38401125515023. The next prime is 38401125515041. The reversal of 38401125515028 is 82051552110483.

It is a happy number.

38401125515028 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 1 + 125 + 515 + 0 + 2 + 8 = 666.

It is a super-3 number, since 3×38401125515028³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38401125515023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45781050 + ... + 46612302.

It is an arithmetic number, because the mean of its divisors is an integer number (558602688000).

Almost surely, 2^{38401125515028} is an apocalyptic number.

38401125515028 is a gapful number since it is divisible by the number (38) 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 38401125515028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53625858048000).

38401125515028 is an abundant number, since it is smaller than the sum of its proper divisors (68850590580972).

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

38401125515028 is a wasteful number, since it uses less digits than its factorization.

38401125515028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831811 (or 831803 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 38401125515028 in words is "thirty-eight trillion, four hundred one billion, one hundred twenty-five million, five hundred fifteen thousand, twenty-eight".