38354040 has 128 divisors (see below), whose sum is σ = 135432000. Its totient is φ = 9621504.

The previous prime is 38354039. The next prime is 38354059. The reversal of 38354040 is 4045383.

It is a happy number.

38354040 is a `hidden beast` number, since 3 + 83 + 540 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 38353995 and 38354013.

It is a congruent number.

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, 17316 + ... + 19404.

Almost surely, 2^38354040 is an apocalyptic number.

38354040 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 38354040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67716000).

38354040 is an abundant number, since it is smaller than the sum of its proper divisors (97077960).

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

38354040 is a wasteful number, since it uses less digits than its factorization.

38354040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 38354040 is about 6193.0638620960. The cubic root of 38354040 is about 337.2384145899.

It can be divided in two parts, 3835 and 4040, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 38354040 in words is "thirty-eight million, three hundred fifty-four thousand, forty".