38462976 has 120 divisors (see below), whose sum is σ = 117775944. Its totient is φ = 12042240.

The previous prime is 38462953. The next prime is 38463013. The reversal of 38462976 is 67926483.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78091 + ... + 78581.

Almost surely, 2^38462976 is an apocalyptic number.

38462976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38462976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58887972).

38462976 is an abundant number, since it is smaller than the sum of its proper divisors (79312968).

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

38462976 is a wasteful number, since it uses less digits than its factorization.

38462976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 513 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 38462976 is about 6201.8526264335. The cubic root of 38462976 is about 337.5573959999.

The spelling of 38462976 in words is "thirty-eight million, four hundred sixty-two thousand, nine hundred seventy-six".