34069490400 has 288 divisors, whose sum is σ = 121192243200. Its totient is φ = 8244633600.

The previous prime is 34069490317. The next prime is 34069490417. The reversal of 34069490400 is 409496043.

It is a super-2 number, since 2×34069490400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 26636961 + ... + 26638239.

It is an arithmetic number, because the mean of its divisors is an integer number (420806400).

Almost surely, 2^34069490400 is an apocalyptic number.

34069490400 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 34069490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60596121600).

34069490400 is an abundant number, since it is smaller than the sum of its proper divisors (87122752800).

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

34069490400 is a wasteful number, since it uses less digits than its factorization.

34069490400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 34069490400 in words is "thirty-four billion, sixty-nine million, four hundred ninety thousand, four hundred".