38787420 has 144 divisors (see below), whose sum is σ = 128701440. Its totient is φ = 8701056.

The previous prime is 38787401. The next prime is 38787443. The reversal of 38787420 is 2478783.

38787420 = T₃₂₉ + T₃₃₀ + ... + T₆₄₄.

38787420 = 98² + 99² + ... + 489².

It is a congruent number.

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, 232177 + ... + 232343.

It is an arithmetic number, because the mean of its divisors is an integer number (893760).

Almost surely, 2^38787420 is an apocalyptic number.

38787420 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 38787420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64350720).

38787420 is an abundant number, since it is smaller than the sum of its proper divisors (89914020).

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

38787420 is a wasteful number, since it uses less digits than its factorization.

38787420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 38787420 is about 6227.9547204520. The cubic root of 38787420 is about 338.5038643561.

The spelling of 38787420 in words is "thirty-eight million, seven hundred eighty-seven thousand, four hundred twenty".