3465609840 has 640 divisors, whose sum is σ = 15153315840. Its totient is φ = 707097600.

The previous prime is 3465609809. The next prime is 3465609853. The reversal of 3465609840 is 489065643.

3465609840 is a `hidden beast` number, since 3 + 4 + 6 + 560 + 9 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11143285 + ... + 11143595.

It is an arithmetic number, because the mean of its divisors is an integer number (23677056).

Almost surely, 2^3465609840 is an apocalyptic number.

3465609840 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 3465609840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7576657920).

3465609840 is an abundant number, since it is smaller than the sum of its proper divisors (11687706000).

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

3465609840 is a wasteful number, since it uses less digits than its factorization.

3465609840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3465609840 is about 58869.4304371972. The cubic root of 3465609840 is about 1513.3053101907.

The spelling of 3465609840 in words is "three billion, four hundred sixty-five million, six hundred nine thousand, eight hundred forty".