38348100 has 144 divisors (see below), whose sum is σ = 140963200. Its totient is φ = 8760960.

The previous prime is 38348087. The next prime is 38348113. The reversal of 38348100 is 184383.

It is an interprime number because it is at equal distance from previous prime (38348087) and next prime (38348113).

It is a super-2 number, since 2×38348100² = 2941153547220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 17886 + ... + 19914.

Almost surely, 2^38348100 is an apocalyptic number.

38348100 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 38348100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70481600).

38348100 is an abundant number, since it is smaller than the sum of its proper divisors (102615100).

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

38348100 is a wasteful number, since it uses less digits than its factorization.

38348100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2046 counting only the distinct ones).

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

The square root of 38348100 is about 6192.5842747596. The cubic root of 38348100 is about 337.2210039981.

The spelling of 38348100 in words is "thirty-eight million, three hundred forty-eight thousand, one hundred".