34949990400 has 576 divisors, whose sum is σ = 130007928960. Its totient is φ = 8218214400.

The previous prime is 34949990359. The next prime is 34949990417. The reversal of 34949990400 is 409994943.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45926020 + ... + 45926780.

It is an arithmetic number, because the mean of its divisors is an integer number (225708210).

Almost surely, 2^34949990400 is an apocalyptic number.

34949990400 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 34949990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65003964480).

34949990400 is an abundant number, since it is smaller than the sum of its proper divisors (95057938560).

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

34949990400 is a wasteful number, since it uses less digits than its factorization.

34949990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 51.

The spelling of 34949990400 in words is "thirty-four billion, nine hundred forty-nine million, nine hundred ninety thousand, four hundred".