32877294879780 has 360 divisors, whose sum is σ = 117988863948648. Its totient is φ = 7616819847168.

The previous prime is 32877294879773. The next prime is 32877294879791. The reversal of 32877294879780 is 8797849277823.

32877294879780 is a `hidden beast` number, since 3 + 28 + 7 + 7 + 29 + 487 + 97 + 8 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 9180322596 + 32868114557184 = 95814^2 + 5733072^2 .

It is a super-3 number, since 3×32877294879780³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 32877294879780.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3385432 + ... + 8787248.

Almost surely, 2^{32877294879780} is an apocalyptic number.

32877294879780 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 32877294879780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58994431974324).

32877294879780 is an abundant number, since it is smaller than the sum of its proper divisors (85111569068868).

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

32877294879780 is a wasteful number, since it uses less digits than its factorization.

32877294879780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5401885 (or 5401857 counting only the distinct ones).

The product of its (nonzero) digits is 4779565056, while the sum is 81.

The spelling of 32877294879780 in words is "thirty-two trillion, eight hundred seventy-seven billion, two hundred ninety-four million, eight hundred seventy-nine thousand, seven hundred eighty".