3833856000 has 456 divisors, whose sum is σ = 14885556504. Its totient is φ = 943718400.

The previous prime is 3833855983. The next prime is 3833856073. The reversal of 3833856000 is 6583383.

It can be written as a sum of positive squares in 4 ways, for example, as 603979776 + 3229876224 = 24576^2 + 56832^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 294911994 + ... + 294912006.

Almost surely, 2^3833856000 is an apocalyptic number.

3833856000 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 3833856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7442778252).

3833856000 is an abundant number, since it is smaller than the sum of its proper divisors (11051700504).

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

3833856000 is an frugal number, since it uses more digits than its factorization.

3833856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3833856000 is about 61918.1395069329. The cubic root of 3833856000 is about 1565.1114388828. Note that the first 3 decimals are identical.

The spelling of 3833856000 in words is "three billion, eight hundred thirty-three million, eight hundred fifty-six thousand".