3293750880 has 288 divisors, whose sum is σ = 13405077504. Its totient is φ = 720073728.

The previous prime is 3293750869. The next prime is 3293750881. The reversal of 3293750880 is 880573923.

3293750880 is a `hidden beast` number, since 32 + 9 + 37 + 508 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3293750881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224737 + ... + 238943.

It is an arithmetic number, because the mean of its divisors is an integer number (46545408).

Almost surely, 2^3293750880 is an apocalyptic number.

3293750880 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 3293750880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6702538752).

3293750880 is an abundant number, since it is smaller than the sum of its proper divisors (10111326624).

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

3293750880 is a wasteful number, since it uses less digits than its factorization.

3293750880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14258 (or 14247 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3293750880 is about 57391.2090829249. The cubic root of 3293750880 is about 1487.8651889660.

The spelling of 3293750880 in words is "three billion, two hundred ninety-three million, seven hundred fifty thousand, eight hundred eighty".