38534940 has 96 divisors (see below), whose sum is σ = 121504320. Its totient is φ = 10264320.

The previous prime is 38534933. The next prime is 38534963. The reversal of 38534940 is 4943583.

38534940 is a `hidden beast` number, since 38 + 534 + 94 + 0 = 666.

It is a super-3 number, since 3×38534940³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38534895 and 38534904.

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, 43300 + ... + 44180.

It is an arithmetic number, because the mean of its divisors is an integer number (1265670).

Almost surely, 2^38534940 is an apocalyptic number.

38534940 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 38534940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60752160).

38534940 is an abundant number, since it is smaller than the sum of its proper divisors (82969380).

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

38534940 is an equidigital number, since it uses as much as digits as its factorization.

38534940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 38534940 is about 6207.6517299217. The cubic root of 38534940 is about 337.7677874693.

The spelling of 38534940 in words is "thirty-eight million, five hundred thirty-four thousand, nine hundred forty".