3251225640 has 128 divisors (see below), whose sum is σ = 10702419840. Its totient is φ = 785181696.

The previous prime is 3251225633. The next prime is 3251225647. The reversal of 3251225640 is 465221523.

It is an interprime number because it is at equal distance from previous prime (3251225633) and next prime (3251225647).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3251225598 and 3251225607.

It is not an unprimeable number, because it can be changed into a prime (3251225647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63019 + ... + 102341.

It is an arithmetic number, because the mean of its divisors is an integer number (83612655).

Almost surely, 2^3251225640 is an apocalyptic number.

3251225640 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 3251225640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5351209920).

3251225640 is an abundant number, since it is smaller than the sum of its proper divisors (7451194200).

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

3251225640 is a wasteful number, since it uses less digits than its factorization.

3251225640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39403 (or 39399 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 3251225640 is about 57019.5198155860. The cubic root of 3251225640 is about 1481.4342135545.

The spelling of 3251225640 in words is "three billion, two hundred fifty-one million, two hundred twenty-five thousand, six hundred forty".