38071620 has 120 divisors (see below), whose sum is σ = 121480128. Its totient is φ = 9979200.

The previous prime is 38071609. The next prime is 38071633. The reversal of 38071620 is 2617083.

38071620 is a `hidden beast` number, since 38 + 0 + 7 + 1 + 620 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 114855 + ... + 115185.

Almost surely, 2^38071620 is an apocalyptic number.

38071620 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 38071620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60740064).

38071620 is an abundant number, since it is smaller than the sum of its proper divisors (83408508).

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

38071620 is a wasteful number, since it uses less digits than its factorization.

38071620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 38071620 is about 6170.2204174567. The cubic root of 38071620 is about 336.4086227544.

The spelling of 38071620 in words is "thirty-eight million, seventy-one thousand, six hundred twenty".