38414640 has 80 divisors (see below), whose sum is σ = 129920256. Its totient is φ = 9312000.

The previous prime is 38414639. The next prime is 38414659. The reversal of 38414640 is 4641483.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 38414598 and 38414607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4636 + ... + 9915.

Almost surely, 2^38414640 is an apocalyptic number.

38414640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38414640 is an abundant number, since it is smaller than the sum of its proper divisors (91505616).

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

38414640 is a wasteful number, since it uses less digits than its factorization.

38414640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14578 (or 14572 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 38414640 is about 6197.9545012851. The cubic root of 38414640 is about 337.4159351670.

The spelling of 38414640 in words is "thirty-eight million, four hundred fourteen thousand, six hundred forty".