38254080 has 160 divisors (see below), whose sum is σ = 129929184. Its totient is φ = 9568256.

The previous prime is 38254079. The next prime is 38254109. The reversal of 38254080 is 8045283.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130414 + ... + 130706.

Almost surely, 2^38254080 is an apocalyptic number.

38254080 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 38254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64964592).

38254080 is an abundant number, since it is smaller than the sum of its proper divisors (91675104).

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

38254080 is a wasteful number, since it uses less digits than its factorization.

38254080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 38254080 is about 6184.9882780811. The cubic root of 38254080 is about 336.9451844616.

The spelling of 38254080 in words is "thirty-eight million, two hundred fifty-four thousand, eighty".