39097440 has 144 divisors (see below), whose sum is σ = 140540400. Its totient is φ = 9870336.

The previous prime is 39097397. The next prime is 39097463. The reversal of 39097440 is 4479093.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 39097395 and 39097404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26646 + ... + 28074.

It is an arithmetic number, because the mean of its divisors is an integer number (975975).

Almost surely, 2^39097440 is an apocalyptic number.

39097440 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 39097440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70270200).

39097440 is an abundant number, since it is smaller than the sum of its proper divisors (101442960).

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

39097440 is a wasteful number, since it uses less digits than its factorization.

39097440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 39097440 is about 6252.7945752279. The cubic root of 39097440 is about 339.4033364616.

The spelling of 39097440 in words is "thirty-nine million, ninety-seven thousand, four hundred forty".