3250051784100 has 567 divisors, whose sum is σ = 11641930006161. Its totient is φ = 786593332800.

The previous prime is 3250051784093. The next prime is 3250051784101. The reversal of 3250051784100 is 14871500523.

The square root of 3250051784100 is 1802790.

It is a perfect power (a square), and thus also a powerful number.

3250051784100 is a `hidden beast` number, since 3 + 2 + 50 + 0 + 517 + 84 + 10 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1170018642276 + 2080033141824 = 1081674^2 + 1442232^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3250051784101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 5354285997 + ... + 5354286603.

Almost surely, 2^{3250051784100} is an apocalyptic number.

3250051784100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3250051784100 is the 1802790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3250051784100

3250051784100 is an abundant number, since it is smaller than the sum of its proper divisors (8391878222061).

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

3250051784100 is an equidigital number, since it uses as much as digits as its factorization.

3250051784100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Multiplying 3250051784100 by its sum of digits (36), we get a square (117001864227600 = 10816740²).

3250051784100 divided by its sum of digits (36) gives a square (90279216225 = 300465²).

The spelling of 3250051784100 in words is "three trillion, two hundred fifty billion, fifty-one million, seven hundred eighty-four thousand, one hundred".