34265625400 has 96 divisors (see below), whose sum is σ = 83374842240. Its totient is φ = 13071935360.

The previous prime is 34265625397. The next prime is 34265625421. The reversal of 34265625400 is 452656243.

It is a super-3 number, since 3×34265625400³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34265625400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1585467 + ... + 1606933.

It is an arithmetic number, because the mean of its divisors is an integer number (868487940).

Almost surely, 2^34265625400 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 34265625400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41687421120).

34265625400 is an abundant number, since it is smaller than the sum of its proper divisors (49109216840).

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

34265625400 is a wasteful number, since it uses less digits than its factorization.

34265625400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21853 (or 21844 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 34265625400 in words is "thirty-four billion, two hundred sixty-five million, six hundred twenty-five thousand, four hundred".