38967745032224 has 96 divisors (see below), whose sum is σ = 79159999282560. Its totient is φ = 18871024896000.

The previous prime is 38967745032143. The next prime is 38967745032283. The reversal of 38967745032224 is 42223054776983.

It is a Cunningham number, because it is equal to 6242415²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99683549 + ... + 100073699.

It is an arithmetic number, because the mean of its divisors is an integer number (824583325860).

Almost surely, 2^{38967745032224} 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 38967745032224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39579999641280).

38967745032224 is an abundant number, since it is smaller than the sum of its proper divisors (40192254250336).

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

38967745032224 is a wasteful number, since it uses less digits than its factorization.

38967745032224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390754 (or 390746 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 62.

The spelling of 38967745032224 in words is "thirty-eight trillion, nine hundred sixty-seven billion, seven hundred forty-five million, thirty-two thousand, two hundred twenty-four".