38640672 has 96 divisors (see below), whose sum is σ = 128822400. Its totient is φ = 11038464.

The previous prime is 38640671. The next prime is 38640727. The reversal of 38640672 is 27604683.

38640672 is a `hidden beast` number, since 3 + 8 + 640 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×38640672³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (38640671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2854 + ... + 9242.

It is an arithmetic number, because the mean of its divisors is an integer number (1341900).

Almost surely, 2^38640672 is an apocalyptic number.

38640672 is a gapful number since it is divisible by the number (32) 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 38640672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64411200).

38640672 is an abundant number, since it is smaller than the sum of its proper divisors (90181728).

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

38640672 is a wasteful number, since it uses less digits than its factorization.

38640672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6415 (or 6401 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 38640672 is about 6216.1621600470. The cubic root of 38640672 is about 338.0764272862.

The spelling of 38640672 in words is "thirty-eight million, six hundred forty thousand, six hundred seventy-two".