3642592512 has 144 divisors (see below), whose sum is σ = 10478034560. Its totient is φ = 1116758016.

The previous prime is 3642592487. The next prime is 3642592519. The reversal of 3642592512 is 2152952463.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3642592519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3963189 + ... + 3964107.

Almost surely, 2^3642592512 is an apocalyptic number.

3642592512 is a gapful number since it is divisible by the number (32) 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 3642592512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5239017280).

3642592512 is an abundant number, since it is smaller than the sum of its proper divisors (6835442048).

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

3642592512 is a wasteful number, since it uses less digits than its factorization.

3642592512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1334 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 3642592512 is about 60353.8939257443. The cubic root of 3642592512 is about 1538.6394505060.

The spelling of 3642592512 in words is "three billion, six hundred forty-two million, five hundred ninety-two thousand, five hundred twelve".