38414160 has 60 divisors (see below), whose sum is σ = 129009972. Its totient is φ = 10243584.

The previous prime is 38414147. The next prime is 38414161. The reversal of 38414160 is 6141483.

It can be written as a sum of positive squares in 2 ways, for example, as 25280784 + 13133376 = 5028^2 + 3624^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38414161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25957 + ... + 27396.

Almost surely, 2^38414160 is an apocalyptic number.

38414160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38414160 is an abundant number, since it is smaller than the sum of its proper divisors (90595812).

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

38414160 is a wasteful number, since it uses less digits than its factorization.

38414160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53372 (or 53363 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 38414160 is about 6197.9157787114. The cubic root of 38414160 is about 337.4145297973.

It can be divided in two parts, 3841 and 4160, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 38414160 in words is "thirty-eight million, four hundred fourteen thousand, one hundred sixty".