38226960 has 60 divisors (see below), whose sum is σ = 128381292. Its totient is φ = 10193664.

The previous prime is 38226953. The next prime is 38226967. The reversal of 38226960 is 6962283.

It is an interprime number because it is at equal distance from previous prime (38226953) and next prime (38226967).

It can be written as a sum of positive squares in 2 ways, for example, as 21678336 + 16548624 = 4656^2 + 4068^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×38226960² = 2922600941683200, which contains 22 as substring.

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 (38226967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25827 + ... + 27266.

Almost surely, 2^38226960 is an apocalyptic number.

38226960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38226960 is an abundant number, since it is smaller than the sum of its proper divisors (90154332).

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

38226960 is a wasteful number, since it uses less digits than its factorization.

38226960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53112 (or 53103 counting only the distinct ones).

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

The square root of 38226960 is about 6182.7954842450. The cubic root of 38226960 is about 336.8655405501.

The spelling of 38226960 in words is "thirty-eight million, two hundred twenty-six thousand, nine hundred sixty".