34576404480 has 312 divisors, whose sum is σ = 121020059160. Its totient is φ = 9130475520.

The previous prime is 34576404451. The next prime is 34576404481. The reversal of 34576404480 is 8440467543.

34576404480 is a `hidden beast` number, since 34 + 576 + 4 + 0 + 4 + 48 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9364045824 + 25212358656 = 96768^2 + 158784^2 .

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 (34576404481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20090020 + ... + 20091740.

It is an arithmetic number, because the mean of its divisors is an integer number (387884805).

Almost surely, 2^34576404480 is an apocalyptic number.

34576404480 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 34576404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60510029580).

34576404480 is an abundant number, since it is smaller than the sum of its proper divisors (86443654680).

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

34576404480 is a wasteful number, since it uses less digits than its factorization.

34576404480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 34576404480 in words is "thirty-four billion, five hundred seventy-six million, four hundred four thousand, four hundred eighty".