38640420 has 216 divisors, whose sum is σ = 147269304. Its totient is φ = 8128512.

The previous prime is 38640419. The next prime is 38640467. The reversal of 38640420 is 2404683.

It can be written as a sum of positive squares in 4 ways, for example, as 1764 + 38638656 = 42^2 + 6216^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114492 + ... + 114828.

Almost surely, 2^38640420 is an apocalyptic number.

38640420 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 38640420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73634652).

38640420 is an abundant number, since it is smaller than the sum of its proper divisors (108628884).

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

38640420 is a wasteful number, since it uses less digits than its factorization.

38640420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 38640420 is about 6216.1418902725. The cubic root of 38640420 is about 338.0756923486.

It can be divided in two parts, 38640 and 420, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 38640420 in words is "thirty-eight million, six hundred forty thousand, four hundred twenty".