3257261040 has 160 divisors (see below), whose sum is σ = 11073148416. Its totient is φ = 785505280.

The previous prime is 3257261039. The next prime is 3257261053. The reversal of 3257261040 is 401627523.

3257261040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3257260989 and 3257261007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516949 + ... + 523211.

Almost surely, 2^3257261040 is an apocalyptic number.

3257261040 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 3257261040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5536574208).

3257261040 is an abundant number, since it is smaller than the sum of its proper divisors (7815887376).

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

3257261040 is a wasteful number, since it uses less digits than its factorization.

3257261040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6487 (or 6481 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3257261040 is about 57072.4192583423. The cubic root of 3257261040 is about 1482.3503317800.

Adding to 3257261040 its reverse (401627523), we get a palindrome (3658888563).

The spelling of 3257261040 in words is "three billion, two hundred fifty-seven million, two hundred sixty-one thousand, forty".