4034774240 has 192 divisors, whose sum is σ = 11238030720. Its totient is φ = 1340375040.

The previous prime is 4034774239. The next prime is 4034774251. The reversal of 4034774240 is 424774304.

4034774240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4034774240.

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, 4986956 + ... + 4987764.

It is an arithmetic number, because the mean of its divisors is an integer number (58531410).

Almost surely, 2^4034774240 is an apocalyptic number.

4034774240 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 4034774240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5619015360).

4034774240 is an abundant number, since it is smaller than the sum of its proper divisors (7203256480).

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

4034774240 is a wasteful number, since it uses less digits than its factorization.

4034774240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 35.

The square root of 4034774240 is about 63519.8727958424. The cubic root of 4034774240 is about 1591.9878411233.

The spelling of 4034774240 in words is "four billion, thirty-four million, seven hundred seventy-four thousand, two hundred forty".