38532672 has 70 divisors (see below), whose sum is σ = 114238278. Its totient is φ = 12842496.

The previous prime is 38532671. The next prime is 38532679. The reversal of 38532672 is 27623583.

It can be written as a sum of positive squares in only one way, i.e., 23970816 + 14561856 = 4896^2 + 3816^2 .

It is a super-2 number, since 2×38532672² = 2969533622919168, which contains 22 as substring.

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (38532671) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1468 + ... + 8900.

Almost surely, 2^38532672 is an apocalyptic number.

38532672 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 38532672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57119139).

38532672 is an abundant number, since it is smaller than the sum of its proper divisors (75705606).

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

38532672 is an equidigital number, since it uses as much as digits as its factorization.

38532672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7457 (or 7438 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 38532672 is about 6207.4690494597. The cubic root of 38532672 is about 337.7611608220.

It can be divided in two parts, 38532 and 672, that added together give a square (39204 = 198²).

The spelling of 38532672 in words is "thirty-eight million, five hundred thirty-two thousand, six hundred seventy-two".