39384480 has 48 divisors (see below), whose sum is σ = 124062624. Its totient is φ = 10502400.

The previous prime is 39384469. The next prime is 39384497. The reversal of 39384480 is 8448393.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×39384480² = 3102274529740800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40546 + ... + 41505.

It is an arithmetic number, because the mean of its divisors is an integer number (2584638).

Almost surely, 2^39384480 is an apocalyptic number.

39384480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

39384480 is an abundant number, since it is smaller than the sum of its proper divisors (84678144).

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

39384480 is a wasteful number, since it uses less digits than its factorization.

39384480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82069 (or 82061 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 39384480 is about 6275.7055380252. The cubic root of 39384480 is about 340.2319063764.

The spelling of 39384480 in words is "thirty-nine million, three hundred eighty-four thousand, four hundred eighty".