38645760 has 208 divisors, whose sum is σ = 134463456. Its totient is φ = 9437184.

The previous prime is 38645759. The next prime is 38645771. The reversal of 38645760 is 6754683.

It is a zygodrome in base 8.

It is a congruent number.

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, 1044462 + ... + 1044498.

Almost surely, 2^38645760 is an apocalyptic number.

38645760 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 38645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67231728).

38645760 is an abundant number, since it is smaller than the sum of its proper divisors (95817696).

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

38645760 is a wasteful number, since it uses less digits than its factorization.

38645760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 38645760 is about 6216.5714023085. The cubic root of 38645760 is about 338.0912653422.

The spelling of 38645760 in words is "thirty-eight million, six hundred forty-five thousand, seven hundred sixty".