34300891800 has 480 divisors, whose sum is σ = 138952044000. Its totient is φ = 7838933760.

The previous prime is 34300891771. The next prime is 34300891841. The reversal of 34300891800 is 819800343.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5553514 + ... + 5559686.

It is an arithmetic number, because the mean of its divisors is an integer number (289483425).

Almost surely, 2^34300891800 is an apocalyptic number.

34300891800 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 34300891800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69476022000).

34300891800 is an abundant number, since it is smaller than the sum of its proper divisors (104651152200).

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

34300891800 is a wasteful number, since it uses less digits than its factorization.

34300891800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6222 (or 6190 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 34300891800 in words is "thirty-four billion, three hundred million, eight hundred ninety-one thousand, eight hundred".