38762945760 has 1152 divisors, whose sum is σ = 171116789760. Its totient is φ = 7144243200.

The previous prime is 38762945731. The next prime is 38762945807. The reversal of 38762945760 is 6754926783.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 38762945760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 202947265 + ... + 202947455.

It is an arithmetic number, because the mean of its divisors is an integer number (148538880).

Almost surely, 2^38762945760 is an apocalyptic number.

38762945760 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 38762945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85558394880).

38762945760 is an abundant number, since it is smaller than the sum of its proper divisors (132353844000).

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

38762945760 is a wasteful number, since it uses less digits than its factorization.

38762945760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 38762945760 in words is "thirty-eight billion, seven hundred sixty-two million, nine hundred forty-five thousand, seven hundred sixty".