3285701952 has 224 divisors, whose sum is σ = 9718633344. Its totient is φ = 973209600.

The previous prime is 3285701929. The next prime is 3285702019. The reversal of 3285701952 is 2591075823.

It is a happy number.

3285701952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3285701952² = 21591674634753220608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9926427 + ... + 9926757.

It is an arithmetic number, because the mean of its divisors is an integer number (43386756).

Almost surely, 2^3285701952 is an apocalyptic number.

3285701952 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 3285701952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4859316672).

3285701952 is an abundant number, since it is smaller than the sum of its proper divisors (6432931392).

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

3285701952 is a wasteful number, since it uses less digits than its factorization.

3285701952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 3285701952 is about 57321.0428376875. The cubic root of 3285701952 is about 1486.6522366724.

The spelling of 3285701952 in words is "three billion, two hundred eighty-five million, seven hundred one thousand, nine hundred fifty-two".