3835820352 has 336 divisors, whose sum is σ = 12907426560. Its totient is φ = 996323328.

The previous prime is 3835820327. The next prime is 3835820363. The reversal of 3835820352 is 2530285383.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3835820352.

It is a congruent number.

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, 9661818 + ... + 9662214.

It is an arithmetic number, because the mean of its divisors is an integer number (38414960).

Almost surely, 2^3835820352 is an apocalyptic number.

3835820352 is a gapful number since it is divisible by the number (32) 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 3835820352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6453713280).

3835820352 is an abundant number, since it is smaller than the sum of its proper divisors (9071606208).

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

3835820352 is a wasteful number, since it uses less digits than its factorization.

3835820352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 3835820352 is about 61933.9999677076. Note that the first 4 decimals coincide. The cubic root of 3835820352 is about 1565.3786985167.

The spelling of 3835820352 in words is "three billion, eight hundred thirty-five million, eight hundred twenty thousand, three hundred fifty-two".