3405575040 has 384 divisors, whose sum is σ = 12995942400. Its totient is φ = 743018496.

The previous prime is 3405575023. The next prime is 3405575057. The reversal of 3405575040 is 405755043.

It is an interprime number because it is at equal distance from previous prime (3405575023) and next prime (3405575057).

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 3405574992 and 3405575010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7109521 + ... + 7109999.

It is an arithmetic number, because the mean of its divisors is an integer number (33843600).

Almost surely, 2^3405575040 is an apocalyptic number.

3405575040 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 3405575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6497971200).

3405575040 is an abundant number, since it is smaller than the sum of its proper divisors (9590367360).

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

3405575040 is a wasteful number, since it uses less digits than its factorization.

3405575040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 33.

The square root of 3405575040 is about 58357.3049411982. The cubic root of 3405575040 is about 1504.5160255861.

The spelling of 3405575040 in words is "three billion, four hundred five million, five hundred seventy-five thousand, forty".