38100040 has 64 divisors (see below), whose sum is σ = 94374720. Its totient is φ = 13728000.

The previous prime is 38100037. The next prime is 38100053. The reversal of 38100040 is 4000183.

It is a super-2 number, since 2×38100040² = 2903226096003200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38099987 and 38100023.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57310 + ... + 57970.

It is an arithmetic number, because the mean of its divisors is an integer number (1474605).

Almost surely, 2^38100040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47187360).

38100040 is an abundant number, since it is smaller than the sum of its proper divisors (56274680).

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

38100040 is a wasteful number, since it uses less digits than its factorization.

38100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 38100040 is about 6172.5229849714. The cubic root of 38100040 is about 336.4923102453.

The spelling of 38100040 in words is "thirty-eight million, one hundred thousand, forty".