38946912 has 96 divisors (see below), whose sum is σ = 110315520. Its totient is φ = 11996160.

The previous prime is 38946883. The next prime is 38946967. The reversal of 38946912 is 21964983.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68164 + ... + 68732.

It is an arithmetic number, because the mean of its divisors is an integer number (1149120).

Almost surely, 2^38946912 is an apocalyptic number.

38946912 is a gapful number since it is divisible by the number (32) 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 38946912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55157760).

38946912 is an abundant number, since it is smaller than the sum of its proper divisors (71368608).

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

38946912 is a wasteful number, since it uses less digits than its factorization.

38946912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 628 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 38946912 is about 6240.7461092405. The cubic root of 38946912 is about 338.9672003838.

The spelling of 38946912 in words is "thirty-eight million, nine hundred forty-six thousand, nine hundred twelve".