38120040 has 144 divisors (see below), whose sum is σ = 144183780. Its totient is φ = 8709120.

The previous prime is 38119999. The next prime is 38120051. The reversal of 38120040 is 4002183.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 38118276 + 1764 = 6174^2 + 42^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 38119995 and 38120022.

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 35 ways as a sum of consecutive naturals, for example, 16560 + ... + 18720.

Almost surely, 2^38120040 is an apocalyptic number.

38120040 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 38120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72091890).

38120040 is an abundant number, since it is smaller than the sum of its proper divisors (106063740).

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

38120040 is a wasteful number, since it uses less digits than its factorization.

38120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 38120040 is about 6174.1428554901. The cubic root of 38120040 is about 336.5511786784.

The spelling of 38120040 in words is "thirty-eight million, one hundred twenty thousand, forty".