38193540 has 144 divisors (see below), whose sum is σ = 135825984. Its totient is φ = 7929600.

The previous prime is 38193539. The next prime is 38193559. The reversal of 38193540 is 4539183.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31750 + ... + 32930.

It is an arithmetic number, because the mean of its divisors is an integer number (943236).

Almost surely, 2^38193540 is an apocalyptic number.

38193540 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 38193540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67912992).

38193540 is an abundant number, since it is smaller than the sum of its proper divisors (97632444).

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

38193540 is a wasteful number, since it uses less digits than its factorization.

38193540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 38193540 is about 6180.0922323215. The cubic root of 38193540 is about 336.7673434597.

The spelling of 38193540 in words is "thirty-eight million, one hundred ninety-three thousand, five hundred forty".