3413078640 has 160 divisors (see below), whose sum is σ = 11796744960. Its totient is φ = 907013376.

The previous prime is 3413078621. The next prime is 3413078657. The reversal of 3413078640 is 468703143.

3413078640 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 0 + 7 + 8 + 640 = 666.

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 = 3413078595 and 3413078604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 660547 + ... + 665693.

It is an arithmetic number, because the mean of its divisors is an integer number (73729656).

Almost surely, 2^3413078640 is an apocalyptic number.

3413078640 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 3413078640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5898372480).

3413078640 is an abundant number, since it is smaller than the sum of its proper divisors (8383666320).

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

3413078640 is a wasteful number, since it uses less digits than its factorization.

3413078640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5476 (or 5464 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3413078640 is about 58421.5597189942. The cubic root of 3413078640 is about 1505.6201959652.

The spelling of 3413078640 in words is "three billion, four hundred thirteen million, seventy-eight thousand, six hundred forty".