3295506240 has 672 divisors, whose sum is σ = 13180527360. Its totient is φ = 749371392.

The previous prime is 3295506229. The next prime is 3295506259. The reversal of 3295506240 is 426055923.

3295506240 is a `hidden beast` number, since 3 + 2 + 9 + 550 + 62 + 40 = 666.

It is a super-2 number, since 2×3295506240² = 21720722755757875200, which contains 22 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 = 3295506195 and 3295506204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37028116 + ... + 37028204.

It is an arithmetic number, because the mean of its divisors is an integer number (19613880).

Almost surely, 2^3295506240 is an apocalyptic number.

3295506240 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 3295506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6590263680).

3295506240 is an abundant number, since it is smaller than the sum of its proper divisors (9885021120).

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

3295506240 is a wasteful number, since it uses less digits than its factorization.

3295506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3295506240 is about 57406.4999804029. The cubic root of 3295506240 is about 1488.1294545715.

It can be divided in two parts, 329550 and 6240, that added together give a triangular number (335790 = T₈₁₉).

The spelling of 3295506240 in words is "three billion, two hundred ninety-five million, five hundred six thousand, two hundred forty".