38157630 has 64 divisors (see below), whose sum is σ = 105684480. Its totient is φ = 8636544.

The previous prime is 38157629. The next prime is 38157631. The reversal of 38157630 is 3675183.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38157629) and next prime (38157631).

It is a junction number, because it is equal to n+sod(n) for n = 38157591 and 38157600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38157631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22057 + ... + 23723.

It is an arithmetic number, because the mean of its divisors is an integer number (1651320).

Almost surely, 2^38157630 is an apocalyptic number.

38157630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38157630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52842240).

38157630 is an abundant number, since it is smaller than the sum of its proper divisors (67526850).

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

38157630 is a wasteful number, since it uses less digits than its factorization.

38157630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 38157630 is about 6177.1862526558. The cubic root of 38157630 is about 336.6617662043.

The spelling of 38157630 in words is "thirty-eight million, one hundred fifty-seven thousand, six hundred thirty".