38414880 has 288 divisors, whose sum is σ = 155361024. Its totient is φ = 8460288.

The previous prime is 38414869. The next prime is 38414891. The reversal of 38414880 is 8841483.

It is an interprime number because it is at equal distance from previous prime (38414869) and next prime (38414891).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372909 + ... + 373011.

It is an arithmetic number, because the mean of its divisors is an integer number (539448).

Almost surely, 2^38414880 is an apocalyptic number.

38414880 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 38414880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77680512).

38414880 is an abundant number, since it is smaller than the sum of its proper divisors (116946144).

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

38414880 is a wasteful number, since it uses less digits than its factorization.

38414880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 38414880 is about 6197.9738624812. The cubic root of 38414880 is about 337.4166378475.

The spelling of 38414880 in words is "thirty-eight million, four hundred fourteen thousand, eight hundred eighty".