38465034740748 has 864 divisors, whose sum is σ = 129355792570368. Its totient is φ = 9717670310400.

The previous prime is 38465034740747. The next prime is 38465034740779. The reversal of 38465034740748 is 84704743056483.

38465034740748 is a `hidden beast` number, since 3 + 8 + 4 + 6 + 503 + 47 + 40 + 7 + 48 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (38465034740747) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16431026058 + ... + 16431028398.

It is an arithmetic number, because the mean of its divisors is an integer number (149717352512).

Almost surely, 2^{38465034740748} 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 38465034740748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64677896285184).

38465034740748 is an abundant number, since it is smaller than the sum of its proper divisors (90890757829620).

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

38465034740748 is a wasteful number, since it uses less digits than its factorization.

38465034740748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 63.

The spelling of 38465034740748 in words is "thirty-eight trillion, four hundred sixty-five billion, thirty-four million, seven hundred forty thousand, seven hundred forty-eight".