38011456 has 168 divisors, whose sum is σ = 100071936. Its totient is φ = 14192640.

The previous prime is 38011453. The next prime is 38011459. The reversal of 38011456 is 65411083.

It is an interprime number because it is at equal distance from previous prime (38011453) and next prime (38011459).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38011453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1226161 + ... + 1226191.

Almost surely, 2^38011456 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 38011456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50035968).

38011456 is an abundant number, since it is smaller than the sum of its proper divisors (62060480).

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

38011456 is a wasteful number, since it uses less digits than its factorization.

38011456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 38011456 is about 6165.3431372471. The cubic root of 38011456 is about 336.2313221891.

The spelling of 38011456 in words is "thirty-eight million, eleven thousand, four hundred fifty-six".