38561040 has 180 divisors, whose sum is σ = 150781644. Its totient is φ = 8805888.

The previous prime is 38561027. The next prime is 38561063. The reversal of 38561040 is 4016583.

38561040 is a `hidden beast` number, since 3 + 8 + 5 + 610 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28901376 + 9659664 = 5376^2 + 3108^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a junction number, because it is equal to n+sod(n) for n = 38560995 and 38561013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34734 + ... + 35826.

Almost surely, 2^38561040 is an apocalyptic number.

38561040 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 38561040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75390822).

38561040 is an abundant number, since it is smaller than the sum of its proper divisors (112220604).

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

38561040 is a wasteful number, since it uses less digits than its factorization.

38561040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 38561040 is about 6209.7536183008. The cubic root of 38561040 is about 337.8440277998.

It can be divided in two parts, 385 and 61040, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 38561040 in words is "thirty-eight million, five hundred sixty-one thousand, forty".