3628040268512 has 120 divisors (see below), whose sum is σ = 7863875019000. Its totient is φ = 1647651075840.

The previous prime is 3628040268469. The next prime is 3628040268521. The reversal of 3628040268512 is 2158620408263.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 669500939 + ... + 669506357.

It is an arithmetic number, because the mean of its divisors is an integer number (65532291825).

Almost surely, 2^{3628040268512} is an apocalyptic number.

3628040268512 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 3628040268512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931937509500).

3628040268512 is an abundant number, since it is smaller than the sum of its proper divisors (4235834750488).

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

3628040268512 is an equidigital number, since it uses as much as digits as its factorization.

3628040268512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6902 (or 6861 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 47.

The spelling of 3628040268512 in words is "three trillion, six hundred twenty-eight billion, forty million, two hundred sixty-eight thousand, five hundred twelve".