3834037440 has 168 divisors, whose sum is σ = 13761098208. Its totient is φ = 977940480.

The previous prime is 3834037433. The next prime is 3834037451. The reversal of 3834037440 is 447304383.

It is a happy number.

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 = 3834037395 and 3834037404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37300 + ... + 95180.

Almost surely, 2^3834037440 is an apocalyptic number.

3834037440 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 3834037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6880549104).

3834037440 is an abundant number, since it is smaller than the sum of its proper divisors (9927060768).

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

3834037440 is a wasteful number, since it uses less digits than its factorization.

3834037440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57927 (or 57914 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3834037440 is about 61919.6046499007. The cubic root of 3834037440 is about 1565.1361285025.

The spelling of 3834037440 in words is "three billion, eight hundred thirty-four million, thirty-seven thousand, four hundred forty".