34490649600 has 792 divisors, whose sum is σ = 139382031360. Its totient is φ = 8073216000.

The previous prime is 34490649577. The next prime is 34490649629. The reversal of 34490649600 is 694609443.

It is a happy number.

34490649600 is a `hidden beast` number, since 34 + 4 + 9 + 0 + 6 + 4 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78566181 + ... + 78566619.

Almost surely, 2^34490649600 is an apocalyptic number.

34490649600 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 34490649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69691015680).

34490649600 is an abundant number, since it is smaller than the sum of its proper divisors (104891381760).

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

34490649600 is a wasteful number, since it uses less digits than its factorization.

34490649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 34490649600 in words is "thirty-four billion, four hundred ninety million, six hundred forty-nine thousand, six hundred".