3413975040 has 672 divisors, whose sum is σ = 14312188800. Its totient is φ = 780337152.

The previous prime is 3413975039. The next prime is 3413975051. The reversal of 3413975040 is 405793143.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 3413974986 and 3413975004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487710717 + ... + 487710723.

It is an arithmetic number, because the mean of its divisors is an integer number (21297900).

Almost surely, 2^3413975040 is an apocalyptic number.

3413975040 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 3413975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7156094400).

3413975040 is an abundant number, since it is smaller than the sum of its proper divisors (10898213760).

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

3413975040 is an frugal number, since it uses more digits than its factorization.

3413975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3413975040 is about 58429.2310406358. The cubic root of 3413975040 is about 1505.7519948432.

The spelling of 3413975040 in words is "three billion, four hundred thirteen million, nine hundred seventy-five thousand, forty".