34461780480 has 400 divisors, whose sum is σ = 129942442080. Its totient is φ = 8705138688.

The previous prime is 34461780473. The next prime is 34461780487. The reversal of 34461780480 is 8408716443.

34461780480 is a `hidden beast` number, since 3 + 44 + 61 + 78 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (34461780473) and next prime (34461780487).

It is a super-2 number, since 2×34461780480² (a number of 22 digits) contains 22 as substring.

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 (34461780487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3935467 + ... + 3944213.

Almost surely, 2^34461780480 is an apocalyptic number.

34461780480 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 34461780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64971221040).

34461780480 is an abundant number, since it is smaller than the sum of its proper divisors (95480661600).

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

34461780480 is an equidigital number, since it uses as much as digits as its factorization.

34461780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8801 (or 8776 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 34461780480 in words is "thirty-four billion, four hundred sixty-one million, seven hundred eighty thousand, four hundred eighty".