34776797440 has 576 divisors, whose sum is σ = 111847680000. Its totient is φ = 10241925120.

The previous prime is 34776797431. The next prime is 34776797443. The reversal of 34776797440 is 4479767743.

It is not an unprimeable number, because it can be changed into a prime (34776797443) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 91759171 + ... + 91759549.

It is an arithmetic number, because the mean of its divisors is an integer number (194180000).

Almost surely, 2^34776797440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34776797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55923840000).

34776797440 is an abundant number, since it is smaller than the sum of its proper divisors (77070882560).

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

34776797440 is a wasteful number, since it uses less digits than its factorization.

34776797440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 24893568, while the sum is 58.

The spelling of 34776797440 in words is "thirty-four billion, seven hundred seventy-six million, seven hundred ninety-seven thousand, four hundred forty".