3833201460 has 192 divisors, whose sum is σ = 12370305024. Its totient is φ = 878169600.

The previous prime is 3833201447. The next prime is 3833201461. The reversal of 3833201460 is 641023383.

It is a super-2 number, since 2×3833201460² = 29386866865892263200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3833201461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 877602 + ... + 881958.

It is an arithmetic number, because the mean of its divisors is an integer number (64428672).

Almost surely, 2^3833201460 is an apocalyptic number.

3833201460 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 3833201460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6185152512).

3833201460 is an abundant number, since it is smaller than the sum of its proper divisors (8537103564).

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

3833201460 is a wasteful number, since it uses less digits than its factorization.

3833201460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4454 (or 4452 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3833201460 is about 61912.8537542892. The cubic root of 3833201460 is about 1565.0223652586.

The spelling of 3833201460 in words is "three billion, eight hundred thirty-three million, two hundred one thousand, four hundred sixty".