38614800 has 120 divisors (see below), whose sum is σ = 141397696. Its totient is φ = 8824320.

The previous prime is 38614799. The next prime is 38614813. The reversal of 38614800 is 841683.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×38614800² = 2982205558080000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6102 + ... + 10698.

Almost surely, 2^38614800 is an apocalyptic number.

38614800 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 38614800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70698848).

38614800 is an abundant number, since it is smaller than the sum of its proper divisors (102782896).

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

38614800 is a wasteful number, since it uses less digits than its factorization.

38614800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4625 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 38614800 is about 6214.0807847983. The cubic root of 38614800 is about 338.0009570133. Note that the first 3 decimals are identical.

The spelling of 38614800 in words is "thirty-eight million, six hundred fourteen thousand, eight hundred".