3833467440 has 240 divisors, whose sum is σ = 13404642048. Its totient is φ = 898752000.

The previous prime is 3833467433. The next prime is 3833467489. The reversal of 3833467440 is 447643383.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3833467440² = 29390945227080307200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3833467392 and 3833467401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2536285 + ... + 2537795.

Almost surely, 2^3833467440 is an apocalyptic number.

3833467440 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 3833467440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6702321024).

3833467440 is an abundant number, since it is smaller than the sum of its proper divisors (9571174608).

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

3833467440 is a wasteful number, since it uses less digits than its factorization.

3833467440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The square root of 3833467440 is about 61915.0017362513. The cubic root of 3833467440 is about 1565.0585625926.

The spelling of 3833467440 in words is "three billion, eight hundred thirty-three million, four hundred sixty-seven thousand, four hundred forty".