32349252780 has 288 divisors, whose sum is σ = 109517728320. Its totient is φ = 7678494720.

The previous prime is 32349252763. The next prime is 32349252781. The reversal of 32349252780 is 8725294323.

32349252780 is a `hidden beast` number, since 3 + 2 + 3 + 49 + 2 + 527 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (32349252781) 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, 7314970 + ... + 7319390.

It is an arithmetic number, because the mean of its divisors is an integer number (380269890).

Almost surely, 2^32349252780 is an apocalyptic number.

32349252780 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 32349252780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54758864160).

32349252780 is an abundant number, since it is smaller than the sum of its proper divisors (77168475540).

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

32349252780 is a wasteful number, since it uses less digits than its factorization.

32349252780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4561 (or 4556 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 32349252780 in words is "thirty-two billion, three hundred forty-nine million, two hundred fifty-two thousand, seven hundred eighty".