3652582140 has 48 divisors (see below), whose sum is σ = 11363590560. Its totient is φ = 974021760.

The previous prime is 3652582133. The next prime is 3652582147. The reversal of 3652582140 is 412852563.

3652582140 is a `hidden beast` number, since 3 + 65 + 2 + 582 + 14 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3652582133) and next prime (3652582147).

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 = 3652582095 and 3652582104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3652582147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3381481 + ... + 3382560.

It is an arithmetic number, because the mean of its divisors is an integer number (236741470).

Almost surely, 2^3652582140 is an apocalyptic number.

3652582140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3652582140 is an abundant number, since it is smaller than the sum of its proper divisors (7711008420).

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

3652582140 is a wasteful number, since it uses less digits than its factorization.

3652582140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6764059 (or 6764051 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3652582140 is about 60436.5960325364. The cubic root of 3652582140 is about 1540.0447139432.

The spelling of 3652582140 in words is "three billion, six hundred fifty-two million, five hundred eighty-two thousand, one hundred forty".