39797280 has 144 divisors (see below), whose sum is σ = 140638680. Its totient is φ = 10235904.

The previous prime is 39797279. The next prime is 39797281. The reversal of 39797280 is 8279793.

It is an interprime number because it is at equal distance from previous prime (39797279) and next prime (39797281).

It can be written as a sum of positive squares in 4 ways, for example, as 30869136 + 8928144 = 5556^2 + 2988^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (39797281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41284 + ... + 42236.

Almost surely, 2^39797280 is an apocalyptic number.

39797280 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 39797280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70319340).

39797280 is an abundant number, since it is smaller than the sum of its proper divisors (100841400).

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

39797280 is a wasteful number, since it uses less digits than its factorization.

39797280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 39797280 is about 6308.5085400592. The cubic root of 39797280 is about 341.4164667029.

The spelling of 39797280 in words is "thirty-nine million, seven hundred ninety-seven thousand, two hundred eighty".