3258035040 has 192 divisors, whose sum is σ = 11702771136. Its totient is φ = 754778112.

The previous prime is 3258035017. The next prime is 3258035059. The reversal of 3258035040 is 405308523.

It is a super-2 number, since 2×3258035040² = 21229584643735603200, which contains 22 as substring.

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 = 3258034989 and 3258035007.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 90724 + ... + 121436.

It is an arithmetic number, because the mean of its divisors is an integer number (60951933).

Almost surely, 2^3258035040 is an apocalyptic number.

3258035040 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 3258035040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5851385568).

3258035040 is an abundant number, since it is smaller than the sum of its proper divisors (8444736096).

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

3258035040 is a wasteful number, since it uses less digits than its factorization.

3258035040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30761 (or 30753 counting only the distinct ones).

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

The square root of 3258035040 is about 57079.1997140815. The cubic root of 3258035040 is about 1482.4677359709.

The spelling of 3258035040 in words is "three billion, two hundred fifty-eight million, thirty-five thousand, forty".