34402848480 has 1152 divisors, whose sum is σ = 163261163520. Its totient is φ = 6363463680.

The previous prime is 34402848461. The next prime is 34402848511. The reversal of 34402848480 is 8484820443.

34402848480 is a `hidden beast` number, since 34 + 40 + 28 + 484 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41801349 + ... + 41802171.

It is an arithmetic number, because the mean of its divisors is an integer number (141719760).

Almost surely, 2^34402848480 is an apocalyptic number.

34402848480 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 34402848480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81630581760).

34402848480 is an abundant number, since it is smaller than the sum of its proper divisors (128858315040).

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

34402848480 is a wasteful number, since it uses less digits than its factorization.

34402848480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 34402848480 in words is "thirty-four billion, four hundred two million, eight hundred forty-eight thousand, four hundred eighty".