38835360 has 144 divisors (see below), whose sum is σ = 134152200. Its totient is φ = 10229760.

The previous prime is 38835341. The next prime is 38835371. The reversal of 38835360 is 6353883.

It can be written as a sum of positive squares in 4 ways, for example, as 10575504 + 28259856 = 3252^2 + 5316^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×38835360³ (a number of 24 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214470 + ... + 214650.

Almost surely, 2^38835360 is an apocalyptic number.

38835360 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 38835360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67076100).

38835360 is an abundant number, since it is smaller than the sum of its proper divisors (95316840).

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

38835360 is a wasteful number, since it uses less digits than its factorization.

38835360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 38835360 is about 6231.8023075191. The cubic root of 38835360 is about 338.6432668920.

The spelling of 38835360 in words is "thirty-eight million, eight hundred thirty-five thousand, three hundred sixty".