4034964960 has 576 divisors, whose sum is σ = 16246863360. Its totient is φ = 902430720.

The previous prime is 4034964949. The next prime is 4034965007. The reversal of 4034964960 is 694694304.

It is a happy number.

4034964960 is a `hidden beast` number, since 40 + 34 + 96 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 9865236 + ... + 9865644.

It is an arithmetic number, because the mean of its divisors is an integer number (28206360).

Almost surely, 2^4034964960 is an apocalyptic number.

4034964960 is a gapful number since it is divisible by the number (40) 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 4034964960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8123431680).

4034964960 is an abundant number, since it is smaller than the sum of its proper divisors (12211898400).

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

4034964960 is a wasteful number, since it uses less digits than its factorization.

4034964960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 4034964960 is about 63521.3740405543. The cubic root of 4034964960 is about 1592.0129246529.

The spelling of 4034964960 in words is "four billion, thirty-four million, nine hundred sixty-four thousand, nine hundred sixty".