38497680 has 200 divisors, whose sum is σ = 144308472. Its totient is φ = 9455616.

The previous prime is 38497661. The next prime is 38497681. The reversal of 38497680 is 8679483.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4064256 + 34433424 = 2016^2 + 5868^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (38497681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84012 + ... + 84468.

Almost surely, 2^38497680 is an apocalyptic number.

38497680 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 38497680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72154236).

38497680 is an abundant number, since it is smaller than the sum of its proper divisors (105810792).

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

38497680 is a wasteful number, since it uses less digits than its factorization.

38497680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 38497680 is about 6204.6498692513. The cubic root of 38497680 is about 337.6588881499.

Adding to 38497680 its product of nonzero digits (290304), we get a square (38787984 = 6228²).

The spelling of 38497680 in words is "thirty-eight million, four hundred ninety-seven thousand, six hundred eighty".