38216640 has 336 divisors, whose sum is σ = 155667456. Its totient is φ = 7772160.

The previous prime is 38216623. The next prime is 38216681. The reversal of 38216640 is 4661283.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 38216598 and 38216607.

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, 813097 + ... + 813143.

It is an arithmetic number, because the mean of its divisors is an integer number (463296).

Almost surely, 2^38216640 is an apocalyptic number.

38216640 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 38216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77833728).

38216640 is an abundant number, since it is smaller than the sum of its proper divisors (117450816).

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

38216640 is a wasteful number, since it uses less digits than its factorization.

38216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 38216640 is about 6181.9608539686. The cubic root of 38216640 is about 336.8352236807.

The spelling of 38216640 in words is "thirty-eight million, two hundred sixteen thousand, six hundred forty".