38577240 has 96 divisors (see below), whose sum is σ = 135036720. Its totient is φ = 9494784.

The previous prime is 38577179. The next prime is 38577251. The reversal of 38577240 is 4277583.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38577195 and 38577204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 559 + ... + 8801.

Almost surely, 2^38577240 is an apocalyptic number.

38577240 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 38577240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67518360).

38577240 is an abundant number, since it is smaller than the sum of its proper divisors (96459480).

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

38577240 is a wasteful number, since it uses less digits than its factorization.

38577240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8273 (or 8266 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 38577240 is about 6211.0578809089. The cubic root of 38577240 is about 337.8913320823.

The spelling of 38577240 in words is "thirty-eight million, five hundred seventy-seven thousand, two hundred forty".