38042964960 has 576 divisors, whose sum is σ = 163785452544. Its totient is φ = 7296307200.

The previous prime is 38042964959. The next prime is 38042964961. The reversal of 38042964960 is 6946924083.

It is an interprime number because it is at equal distance from previous prime (38042964959) and next prime (38042964961).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38042964961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3357705 + ... + 3369015.

It is an arithmetic number, because the mean of its divisors is an integer number (284349744).

Almost surely, 2^38042964960 is an apocalyptic number.

38042964960 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 38042964960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81892726272).

38042964960 is an abundant number, since it is smaller than the sum of its proper divisors (125742487584).

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

38042964960 is a wasteful number, since it uses less digits than its factorization.

38042964960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11367 (or 11352 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 38042964960 in words is "thirty-eight billion, forty-two million, nine hundred sixty-four thousand, nine hundred sixty".