38420736 has 72 divisors (see below), whose sum is σ = 107677920. Its totient is φ = 12128256.

The previous prime is 38420719. The next prime is 38420771. The reversal of 38420736 is 63702483.

It is a junction number, because it is equal to n+sod(n) for n = 38420697 and 38420706.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13276 + ... + 15908.

Almost surely, 2^38420736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38420736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53838960).

38420736 is an abundant number, since it is smaller than the sum of its proper divisors (69257184).

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

38420736 is a wasteful number, since it uses less digits than its factorization.

38420736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 38420736 is about 6198.4462569260. The cubic root of 38420736 is about 337.4337823450.

It can be divided in two parts, 384 and 20736, that multiplied together give a 5-th power (7962624 = 24⁵).

The spelling of 38420736 in words is "thirty-eight million, four hundred twenty thousand, seven hundred thirty-six".