3464915040 has 288 divisors, whose sum is σ = 12418660800. Its totient is φ = 878051328.

The previous prime is 3464915021. The next prime is 3464915071. The reversal of 3464915040 is 405194643.

3464915040 is a `hidden beast` number, since 3 + 4 + 64 + 91 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 3464914986 and 3464915004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7716736 + ... + 7717184.

It is an arithmetic number, because the mean of its divisors is an integer number (43120350).

Almost surely, 2^3464915040 is an apocalyptic number.

3464915040 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 3464915040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6209330400).

3464915040 is an abundant number, since it is smaller than the sum of its proper divisors (8953745760).

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

3464915040 is a wasteful number, since it uses less digits than its factorization.

3464915040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3464915040 is about 58863.5289461989. The cubic root of 3464915040 is about 1513.2041721658.

The spelling of 3464915040 in words is "three billion, four hundred sixty-four million, nine hundred fifteen thousand, forty".