38760240 has 80 divisors (see below), whose sum is σ = 124322400. Its totient is φ = 9977856.

The previous prime is 38760229. The next prime is 38760251. The reversal of 38760240 is 4206783.

It is an interprime number because it is at equal distance from previous prime (38760229) and next prime (38760251).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 38760198 and 38760207.

It is a congruent number.

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, 4176 + ... + 9744.

It is an arithmetic number, because the mean of its divisors is an integer number (1554030).

Almost surely, 2^38760240 is an apocalyptic number.

38760240 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 38760240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62161200).

38760240 is an abundant number, since it is smaller than the sum of its proper divisors (85562160).

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

38760240 is a wasteful number, since it uses less digits than its factorization.

38760240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5614 (or 5608 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 38760240 is about 6225.7722412565. The cubic root of 38760240 is about 338.4247778469.

The spelling of 38760240 in words is "thirty-eight million, seven hundred sixty thousand, two hundred forty".