38610264 has 128 divisors (see below), whose sum is σ = 127526400. Its totient is φ = 9431040.

The previous prime is 38610263. The next prime is 38610287. The reversal of 38610264 is 46201683.

It is a super-2 number, since 2×38610264² = 2981504972299392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38610263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30802 + ... + 32030.

It is an arithmetic number, because the mean of its divisors is an integer number (996300).

Almost surely, 2^38610264 is an apocalyptic number.

38610264 is a gapful number since it is divisible by the number (34) 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 38610264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63763200).

38610264 is an abundant number, since it is smaller than the sum of its proper divisors (88916136).

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

38610264 is a wasteful number, since it uses less digits than its factorization.

38610264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 38610264 is about 6213.7157965263. The cubic root of 38610264 is about 337.9877217392.

The spelling of 38610264 in words is "thirty-eight million, six hundred ten thousand, two hundred sixty-four".