39073480 has 64 divisors (see below), whose sum is σ = 95664240. Its totient is φ = 14303232.

The previous prime is 39073477. The next prime is 39073483. The reversal of 39073480 is 8437093.

39073480 = 278² + 279² + ... + 517².

It is an interprime number because it is at equal distance from previous prime (39073477) and next prime (39073483).

It can be written as a sum of positive squares in 8 ways, for example, as 22410756 + 16662724 = 4734^2 + 4082^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (39073483) by changing a digit.

It is a nontrivial repunit in base 339.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24384 + ... + 25936.

Almost surely, 2^39073480 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 39073480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47832120).

39073480 is an abundant number, since it is smaller than the sum of its proper divisors (56590760).

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

39073480 is a wasteful number, since it uses less digits than its factorization.

39073480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 39073480 is about 6250.8783382817. The cubic root of 39073480 is about 339.3339903552. Note that the first 3 decimals are identical.

The spelling of 39073480 in words is "thirty-nine million, seventy-three thousand, four hundred eighty".