38877300 has 432 divisors, whose sum is σ = 166239360. Its totient is φ = 7603200.

The previous prime is 38877299. The next prime is 38877301. The reversal of 38877300 is 377883.

It is an interprime number because it is at equal distance from previous prime (38877299) and next prime (38877301).

It is a super-2 number, since 2×38877300² = 3022888910580000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38877301) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 2286892 + ... + 2286908.

Almost surely, 2^38877300 is an apocalyptic number.

38877300 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 38877300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83119680).

38877300 is an abundant number, since it is smaller than the sum of its proper divisors (127362060).

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

38877300 is a wasteful number, since it uses less digits than its factorization.

38877300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 38877300 is about 6235.1663971381. The cubic root of 38877300 is about 338.7651282487.

The spelling of 38877300 in words is "thirty-eight million, eight hundred seventy-seven thousand, three hundred".