3253465440 has 240 divisors, whose sum is σ = 12158258112. Its totient is φ = 816500736.

The previous prime is 3253465421. The next prime is 3253465471. The reversal of 3253465440 is 445643523.

3253465440 is a `hidden beast` number, since 32 + 534 + 6 + 54 + 40 = 666.

3253465440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 3253465395 and 3253465404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 212937 + ... + 227703.

Almost surely, 2^3253465440 is an apocalyptic number.

3253465440 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 3253465440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6079129056).

3253465440 is an abundant number, since it is smaller than the sum of its proper divisors (8904792672).

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

3253465440 is a wasteful number, since it uses less digits than its factorization.

3253465440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14811 (or 14794 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The square root of 3253465440 is about 57039.1570765207. The cubic root of 3253465440 is about 1481.7743267969.

The spelling of 3253465440 in words is "three billion, two hundred fifty-three million, four hundred sixty-five thousand, four hundred forty".