34779974400 has 540 divisors, whose sum is σ = 134234606352. Its totient is φ = 8868372480.

The previous prime is 34779974393. The next prime is 34779974417. The reversal of 34779974400 is 447997743.

34779974400 is a `hidden beast` number, since 3 + 47 + 79 + 97 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11921742 + ... + 11924658.

Almost surely, 2^34779974400 is an apocalyptic number.

34779974400 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 34779974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67117303176).

34779974400 is an abundant number, since it is smaller than the sum of its proper divisors (99454631952).

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

34779974400 is a wasteful number, since it uses less digits than its factorization.

34779974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2978 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 34779974400 in words is "thirty-four billion, seven hundred seventy-nine million, nine hundred seventy-four thousand, four hundred".