38641680 has 480 divisors, whose sum is σ = 175488768. Its totient is φ = 7372800.

The previous prime is 38641667. The next prime is 38641693. The reversal of 38641680 is 8614683.

It is a happy number.

38641680 is a `hidden beast` number, since 3 + 8 + 641 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38641667) and next prime (38641693).

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 95 ways as a sum of consecutive naturals, for example, 942460 + ... + 942500.

Almost surely, 2^38641680 is an apocalyptic number.

38641680 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 38641680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87744384).

38641680 is an abundant number, since it is smaller than the sum of its proper divisors (136847088).

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

38641680 is a wasteful number, since it uses less digits than its factorization.

38641680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 86 counting only the distinct ones).

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

The square root of 38641680 is about 6216.2432384842. The cubic root of 38641680 is about 338.0793670045.

The spelling of 38641680 in words is "thirty-eight million, six hundred forty-one thousand, six hundred eighty".