38735820 has 60 divisors (see below), whose sum is σ = 121520784. Its totient is φ = 10329120.

The previous prime is 38735797. The next prime is 38735863. The reversal of 38735820 is 2853783.

38735820 is a `hidden beast` number, since 3 + 8 + 73 + 582 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10336 + ... + 13575.

Almost surely, 2^38735820 is an apocalyptic number.

38735820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38735820 is an abundant number, since it is smaller than the sum of its proper divisors (82784964).

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

38735820 is a wasteful number, since it uses less digits than its factorization.

38735820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23932 (or 23921 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 38735820 is about 6223.8107297700. The cubic root of 38735820 is about 338.3536906601.

The spelling of 38735820 in words is "thirty-eight million, seven hundred thirty-five thousand, eight hundred twenty".