39378480 has 80 divisors (see below), whose sum is σ = 124706304. Its totient is φ = 10274560.

The previous prime is 39378473. The next prime is 39378487. The reversal of 39378480 is 8487393.

It is an interprime number because it is at equal distance from previous prime (39378473) and next prime (39378487).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×39378480² = 3101329374220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (39378487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9535 + ... + 13025.

Almost surely, 2^39378480 is an apocalyptic number.

39378480 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 39378480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62353152).

39378480 is an abundant number, since it is smaller than the sum of its proper divisors (85327824).

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

39378480 is a wasteful number, since it uses less digits than its factorization.

39378480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 39378480 is about 6275.2274859163. The cubic root of 39378480 is about 340.2146280381.

The spelling of 39378480 in words is "thirty-nine million, three hundred seventy-eight thousand, four hundred eighty".