38225040 has 160 divisors (see below), whose sum is σ = 138014976. Its totient is φ = 8570880.

The previous prime is 38225039. The next prime is 38225059. The reversal of 38225040 is 4052283.

It is a super-2 number, since 2×38225040² = 2922307366003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 38225040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102294 + ... + 102666.

Almost surely, 2^38225040 is an apocalyptic number.

38225040 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 38225040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69007488).

38225040 is an abundant number, since it is smaller than the sum of its proper divisors (99789936).

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

38225040 is a wasteful number, since it uses less digits than its factorization.

38225040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 38225040 is about 6182.6402127247. The cubic root of 38225040 is about 336.8599006155.

The spelling of 38225040 in words is "thirty-eight million, two hundred twenty-five thousand, forty".