38964235696960 has 448 divisors, whose sum is σ = 107251939399680. Its totient is φ = 13207553187840.

The previous prime is 38964235696907. The next prime is 38964235696963. The reversal of 38964235696960 is 6969653246983.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (76) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38964235696963) 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, 69208233639 + ... + 69208234201.

Almost surely, 2^{38964235696960} 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 38964235696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53625969699840).

38964235696960 is an abundant number, since it is smaller than the sum of its proper divisors (68287703702720).

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

38964235696960 is a wasteful number, since it uses less digits than its factorization.

38964235696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 2720977920, while the sum is 76.

The spelling of 38964235696960 in words is "thirty-eight trillion, nine hundred sixty-four billion, two hundred thirty-five million, six hundred ninety-six thousand, nine hundred sixty".