38601312 has 48 divisors (see below), whose sum is σ = 106666560. Its totient is φ = 12189312.

The previous prime is 38601307. The next prime is 38601379. The reversal of 38601312 is 21310683.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×38601312² = 2980122576242688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8758 + ... + 12405.

It is an arithmetic number, because the mean of its divisors is an integer number (2222220).

Almost surely, 2^38601312 is an apocalyptic number.

38601312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38601312 is an abundant number, since it is smaller than the sum of its proper divisors (68065248).

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

38601312 is a wasteful number, since it uses less digits than its factorization.

38601312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21195 (or 21187 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 38601312 is about 6212.9954128423. The cubic root of 38601312 is about 337.9615982888.

Adding to 38601312 its reverse (21310683), we get a palindrome (59911995).

The spelling of 38601312 in words is "thirty-eight million, six hundred one thousand, three hundred twelve".