3479009040 has 240 divisors, whose sum is σ = 12821648112. Its totient is φ = 840093696.

The previous prime is 3479008999. The next prime is 3479009063. The reversal of 3479009040 is 409009743.

It can be written as a sum of positive squares in 8 ways, for example, as 4613904 + 3474395136 = 2148^2 + 58944^2 .

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 = 3479008986 and 3479009004.

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, 492574 + ... + 499586.

Almost surely, 2^3479009040 is an apocalyptic number.

3479009040 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 3479009040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410824056).

3479009040 is an abundant number, since it is smaller than the sum of its proper divisors (9342639072).

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

3479009040 is a wasteful number, since it uses less digits than its factorization.

3479009040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7098 (or 7089 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3479009040 is about 58983.1250443718. The cubic root of 3479009040 is about 1515.2531158959.

The spelling of 3479009040 in words is "three billion, four hundred seventy-nine million, nine thousand, forty".