3285500400 has 480 divisors, whose sum is σ = 14396856320. Its totient is φ = 692997120.

The previous prime is 3285500371. The next prime is 3285500401. The reversal of 3285500400 is 40055823.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3285500401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 981129 + ... + 984471.

Almost surely, 2^3285500400 is an apocalyptic number.

3285500400 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 3285500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7198428160).

3285500400 is an abundant number, since it is smaller than the sum of its proper divisors (11111355920).

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

3285500400 is a wasteful number, since it uses less digits than its factorization.

3285500400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3390 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 3285500400 is about 57319.2847129132. The cubic root of 3285500400 is about 1486.6218379059.

The spelling of 3285500400 in words is "three billion, two hundred eighty-five million, five hundred thousand, four hundred".