4034169360 has 560 divisors, whose sum is σ = 16086564144. Its totient is φ = 931627008.

The previous prime is 4034169301. The next prime is 4034169367. The reversal of 4034169360 is 639614304.

It can be written as a sum of positive squares in 8 ways, for example, as 831514896 + 3202654464 = 28836^2 + 56592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4034169367) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12888564 + ... + 12888876.

Almost surely, 2^4034169360 is an apocalyptic number.

4034169360 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 4034169360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043282072).

4034169360 is an abundant number, since it is smaller than the sum of its proper divisors (12052394784).

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

4034169360 is a wasteful number, since it uses less digits than its factorization.

4034169360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 4034169360 is about 63515.1112728302. Note that the first 3 decimals coincide. The cubic root of 4034169360 is about 1591.9082819647.

The spelling of 4034169360 in words is "four billion, thirty-four million, one hundred sixty-nine thousand, three hundred sixty".