3254291040 has 576 divisors, whose sum is σ = 13865789952. Its totient is φ = 623001600.

The previous prime is 3254290981. The next prime is 3254291069. The reversal of 3254291040 is 401924523.

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 = 3254290989 and 3254291007.

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 95 ways as a sum of consecutive naturals, for example, 6245980 + ... + 6246500.

It is an arithmetic number, because the mean of its divisors is an integer number (24072552).

Almost surely, 2^3254291040 is an apocalyptic number.

3254291040 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 3254291040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6932894976).

3254291040 is an abundant number, since it is smaller than the sum of its proper divisors (10611498912).

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

3254291040 is a wasteful number, since it uses less digits than its factorization.

3254291040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 3254291040 is about 57046.3937510514. The cubic root of 3254291040 is about 1481.8996546401.

The spelling of 3254291040 in words is "three billion, two hundred fifty-four million, two hundred ninety-one thousand, forty".