38409630 has 192 divisors, whose sum is σ = 119672640. Its totient is φ = 7827456.

The previous prime is 38409619. The next prime is 38409653. The reversal of 38409630 is 3690483.

It is a junction number, because it is equal to n+sod(n) for n = 38409591 and 38409600.

It is a congruent number.

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, 724684 + ... + 724736.

It is an arithmetic number, because the mean of its divisors is an integer number (623295).

Almost surely, 2^38409630 is an apocalyptic number.

38409630 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 38409630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59836320).

38409630 is an abundant number, since it is smaller than the sum of its proper divisors (81263010).

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

38409630 is a wasteful number, since it uses less digits than its factorization.

38409630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 38409630 is about 6197.5503225065. The cubic root of 38409630 is about 337.4012660432.

It can be divided in two parts, 384096 and 30, that added together give a triangular number (384126 = T₈₇₆).

The spelling of 38409630 in words is "thirty-eight million, four hundred nine thousand, six hundred thirty".