38945610 has 192 divisors, whose sum is σ = 120766464. Its totient is φ = 8942400.

The previous prime is 38945603. The next prime is 38945653. The reversal of 38945610 is 1654983.

38945610 is a `hidden beast` number, since 3 + 8 + 94 + 561 + 0 = 666.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 828607 + ... + 828653.

It is an arithmetic number, because the mean of its divisors is an integer number (628992).

It is a vampire number, since it can be written as 4185 ⋅ 9306 (with its own digits).

Almost surely, 2^38945610 is an apocalyptic number.

38945610 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38945610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60383232).

38945610 is an abundant number, since it is smaller than the sum of its proper divisors (81820854).

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

38945610 is a wasteful number, since it uses less digits than its factorization.

38945610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 38945610 is about 6240.6417939183. The cubic root of 38945610 is about 338.9634231035.

The spelling of 38945610 in words is "thirty-eight million, nine hundred forty-five thousand, six hundred ten".