387652140 has 72 divisors (see below), whose sum is σ = 1187576208. Its totient is φ = 102345600.

The previous prime is 387652129. The next prime is 387652157. The reversal of 387652140 is 41256783.

387652140 is a `hidden beast` number, since 387 + 65 + 214 + 0 = 666.

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 = 387652095 and 387652104.

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, 7519 + ... + 28841.

It is an arithmetic number, because the mean of its divisors is an integer number (16494114).

Almost surely, 2^387652140 is an apocalyptic number.

387652140 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 387652140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593788104).

387652140 is an abundant number, since it is smaller than the sum of its proper divisors (799924068).

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

387652140 is a wasteful number, since it uses less digits than its factorization.

387652140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21439 (or 21434 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 387652140 is about 19688.8836656627. The cubic root of 387652140 is about 729.1452684587.

The spelling of 387652140 in words is "three hundred eighty-seven million, six hundred fifty-two thousand, one hundred forty".