38464920 has 96 divisors (see below), whose sum is σ = 134643600. Its totient is φ = 9467136.

The previous prime is 38464891. The next prime is 38464957. The reversal of 38464920 is 2946483.

It is a happy number.

38464920 is a `hidden beast` number, since 3 + 8 + 4 + 649 + 2 + 0 = 666.

38464920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 571 + ... + 8789.

Almost surely, 2^38464920 is an apocalyptic number.

38464920 is a gapful number since it is divisible by the number (30) 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 38464920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67321800).

38464920 is an abundant number, since it is smaller than the sum of its proper divisors (96178680).

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

38464920 is a wasteful number, since it uses less digits than its factorization.

38464920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8249 (or 8242 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 38464920 is about 6202.0093518149. The cubic root of 38464920 is about 337.5630828585.

The spelling of 38464920 in words is "thirty-eight million, four hundred sixty-four thousand, nine hundred twenty".