38861695192320 has 5760 divisors, whose sum is σ = 197591251156992. Its totient is φ = 7032589516800.

The previous prime is 38861695192291. The next prime is 38861695192409. The reversal of 38861695192320 is 2329159616883.

38861695192320 is a `hidden beast` number, since 3 + 8 + 8 + 61 + 69 + 5 + 192 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 151212821632 + ... + 151212821888.

Almost surely, 2^{38861695192320} is an apocalyptic number.

38861695192320 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 38861695192320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98795625578496).

38861695192320 is an abundant number, since it is smaller than the sum of its proper divisors (158729555964672).

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

38861695192320 is a wasteful number, since it uses less digits than its factorization.

38861695192320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 38861695192320 in words is "thirty-eight trillion, eight hundred sixty-one billion, six hundred ninety-five million, one hundred ninety-two thousand, three hundred twenty".