34298352000 has 768 divisors, whose sum is σ = 137021414400. Its totient is φ = 8151552000.

The previous prime is 34298351963. The next prime is 34298352133. The reversal of 34298352000 is 25389243.

34298352000 is a `hidden beast` number, since 3 + 42 + 98 + 3 + 520 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 93455817 + ... + 93456183.

It is an arithmetic number, because the mean of its divisors is an integer number (178413300).

Almost surely, 2^34298352000 is an apocalyptic number.

34298352000 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 34298352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68510707200).

34298352000 is an abundant number, since it is smaller than the sum of its proper divisors (102723062400).

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

34298352000 is a wasteful number, since it uses less digits than its factorization.

34298352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 34298352000 in words is "thirty-four billion, two hundred ninety-eight million, three hundred fifty-two thousand".