38661480 has 192 divisors, whose sum is σ = 147813120. Its totient is φ = 8640000.

The previous prime is 38661473. The next prime is 38661503. The reversal of 38661480 is 8416683.

It is a happy number.

38661480 is a `hidden beast` number, since 38 + 6 + 614 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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, 51105 + ... + 51855.

It is an arithmetic number, because the mean of its divisors is an integer number (769860).

Almost surely, 2^38661480 is an apocalyptic number.

38661480 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 38661480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73906560).

38661480 is an abundant number, since it is smaller than the sum of its proper divisors (109151640).

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

38661480 is a wasteful number, since it uses less digits than its factorization.

38661480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 38661480 is about 6217.8356362966. The cubic root of 38661480 is about 338.1371011098.

The spelling of 38661480 in words is "thirty-eight million, six hundred sixty-one thousand, four hundred eighty".