4034893920 has 96 divisors (see below), whose sum is σ = 12770472960. Its totient is φ = 1070845440.

The previous prime is 4034893913. The next prime is 4034893931. The reversal of 4034893920 is 293984304.

It is a happy number.

4034893920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81361 + ... + 121199.

It is an arithmetic number, because the mean of its divisors is an integer number (133025760).

Almost surely, 2^4034893920 is an apocalyptic number.

4034893920 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 4034893920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6385236480).

4034893920 is an abundant number, since it is smaller than the sum of its proper divisors (8735579040).

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

4034893920 is a wasteful number, since it uses less digits than its factorization.

4034893920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40068 (or 40060 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 4034893920 is about 63520.8148562343. The cubic root of 4034893920 is about 1592.0035815513.

The spelling of 4034893920 in words is "four billion, thirty-four million, eight hundred ninety-three thousand, nine hundred twenty".