38465280 has 360 divisors, whose sum is σ = 160265952. Its totient is φ = 8626176.

The previous prime is 38465267. The next prime is 38465293. The reversal of 38465280 is 8256483.

It is an interprime number because it is at equal distance from previous prime (38465267) and next prime (38465293).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 725734 + ... + 725786.

Almost surely, 2^38465280 is an apocalyptic number.

38465280 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 38465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80132976).

38465280 is an abundant number, since it is smaller than the sum of its proper divisors (121800672).

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

38465280 is an equidigital number, since it uses as much as digits as its factorization.

38465280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 38465280 is about 6202.0383745991. The cubic root of 38465280 is about 337.5641359595.

The spelling of 38465280 in words is "thirty-eight million, four hundred sixty-five thousand, two hundred eighty".