38963966865408 has 1248 divisors, whose sum is σ = 128357613576192. Its totient is φ = 11738500300800.

The previous prime is 38963966865391. The next prime is 38963966865409. The reversal of 38963966865408 is 80456866936983.

38963966865408 is a `hidden beast` number, since 3 + 8 + 9 + 6 + 3 + 9 + 6 + 68 + 6 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×38963966865408² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38963966865409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215270535078 + ... + 215270535258.

It is an arithmetic number, because the mean of its divisors is an integer number (102850651904).

Almost surely, 2^{38963966865408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38963966865408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64178806788096).

38963966865408 is an abundant number, since it is smaller than the sum of its proper divisors (89393646710784).

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

38963966865408 is a wasteful number, since it uses less digits than its factorization.

38963966865408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 9674588160, while the sum is 81.

The spelling of 38963966865408 in words is "thirty-eight trillion, nine hundred sixty-three billion, nine hundred sixty-six million, eight hundred sixty-five thousand, four hundred eight".