38454900 has 144 divisors (see below), whose sum is σ = 124658688. Its totient is φ = 9072000.

The previous prime is 38454893. The next prime is 38454907. The reversal of 38454900 is 945483.

It is an interprime number because it is at equal distance from previous prime (38454893) and next prime (38454907).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38454907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141765 + ... + 142035.

Almost surely, 2^38454900 is an apocalyptic number.

38454900 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 38454900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62329344).

38454900 is an abundant number, since it is smaller than the sum of its proper divisors (86203788).

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

38454900 is a wasteful number, since it uses less digits than its factorization.

38454900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 38454900 is about 6201.2014964844. The cubic root of 38454900 is about 337.5337689119.

The spelling of 38454900 in words is "thirty-eight million, four hundred fifty-four thousand, nine hundred".