3257294040 has 1024 divisors, whose sum is σ = 15328051200. Its totient is φ = 593049600.

The previous prime is 3257294039. The next prime is 3257294041. The reversal of 3257294040 is 404927523.

3257294040 is a `hidden beast` number, since 3 + 2 + 572 + 9 + 40 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3257294039) and next prime (3257294041).

It is a super-3 number, since 3×3257294040³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3257293986 and 3257294004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3257294041) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24864775 + ... + 24864905.

It is an arithmetic number, because the mean of its divisors is an integer number (14968800).

Almost surely, 2^3257294040 is an apocalyptic number.

3257294040 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 3257294040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7664025600).

3257294040 is an abundant number, since it is smaller than the sum of its proper divisors (12070757160).

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

3257294040 is a wasteful number, since it uses less digits than its factorization.

3257294040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3257294040 is about 57072.7083639808. The cubic root of 3257294040 is about 1482.3553377646.

The spelling of 3257294040 in words is "three billion, two hundred fifty-seven million, two hundred ninety-four thousand, forty".