38669400 has 480 divisors, whose sum is σ = 172846080. Its totient is φ = 7776000.

The previous prime is 38669387. The next prime is 38669401. The reversal of 38669400 is 496683.

38669400 = T₁₂₀ + T₁₂₁ + ... + T₆₁₅.

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 (38669401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1247385 + ... + 1247415.

It is an arithmetic number, because the mean of its divisors is an integer number (360096).

Almost surely, 2^38669400 is an apocalyptic number.

38669400 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 38669400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86423040).

38669400 is an abundant number, since it is smaller than the sum of its proper divisors (134176680).

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

38669400 is a wasteful number, since it uses less digits than its factorization.

38669400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 38669400 is about 6218.4724812449. The cubic root of 38669400 is about 338.1601892326.

The spelling of 38669400 in words is "thirty-eight million, six hundred sixty-nine thousand, four hundred".