38452400 has 120 divisors (see below), whose sum is σ = 109231104. Its totient is φ = 12729600.

The previous prime is 38452391. The next prime is 38452411. The reversal of 38452400 is 425483.

38452400 = T₂₂₃ + T₂₂₄ + ... + T₆₂₂.

It is a Cunningham number, because it is equal to 6201²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 38452400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86579 + ... + 87021.

Almost surely, 2^38452400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54615552).

38452400 is an abundant number, since it is smaller than the sum of its proper divisors (70778704).

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

38452400 is a wasteful number, since it uses less digits than its factorization.

38452400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 38452400 is about 6200.9999193678. Note that the first 4 decimals coincide. The cubic root of 38452400 is about 337.5264542593.

Adding to 38452400 its reverse (425483), we get a palindrome (38877883).

The spelling of 38452400 in words is "thirty-eight million, four hundred fifty-two thousand, four hundred".