38100240 has 160 divisors (see below), whose sum is σ = 135705600. Its totient is φ = 9815040.

The previous prime is 38100217. The next prime is 38100313. The reversal of 38100240 is 4200183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66676 + ... + 67244.

It is an arithmetic number, because the mean of its divisors is an integer number (848160).

Almost surely, 2^38100240 is an apocalyptic number.

38100240 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 38100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67852800).

38100240 is an abundant number, since it is smaller than the sum of its proper divisors (97605360).

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

38100240 is a wasteful number, since it uses less digits than its factorization.

38100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 38100240 is about 6172.5391857808. The cubic root of 38100240 is about 336.4928990316.

The spelling of 38100240 in words is "thirty-eight million, one hundred thousand, two hundred forty".