38420096 has 64 divisors (see below), whose sum is σ = 89964000. Its totient is φ = 16112640.

The previous prime is 38420093. The next prime is 38420117. The reversal of 38420096 is 69002483.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×38420096² = 2952207553298432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (38420093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17255 + ... + 19353.

Almost surely, 2^38420096 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 38420096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44982000).

38420096 is an abundant number, since it is smaller than the sum of its proper divisors (51543904).

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

38420096 is a wasteful number, since it uses less digits than its factorization.

38420096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 38420096 is about 6198.3946308702. The cubic root of 38420096 is about 337.4319087142.

The spelling of 38420096 in words is "thirty-eight million, four hundred twenty thousand, ninety-six".