38862096 has 240 divisors, whose sum is σ = 132991488. Its totient is φ = 9676800.

The previous prime is 38862071. The next prime is 38862101. The reversal of 38862096 is 69026883.

38862096 = T₈₃ + T₈₄ + ... + T₆₁₅.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 947836 + ... + 947876.

Almost surely, 2^38862096 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 38862096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66495744).

38862096 is an abundant number, since it is smaller than the sum of its proper divisors (94129392).

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

38862096 is a wasteful number, since it uses less digits than its factorization.

38862096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 38862096 is about 6233.9470642603. The cubic root of 38862096 is about 338.7209614592.

The spelling of 38862096 in words is "thirty-eight million, eight hundred sixty-two thousand, ninety-six".