34297894400 has 960 divisors, whose sum is σ = 118368138240. Its totient is φ = 9515827200.

The previous prime is 34297894339. The next prime is 34297894409. The reversal of 34297894400 is 449879243.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34297894409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 385369556 + ... + 385369644.

It is an arithmetic number, because the mean of its divisors is an integer number (123300144).

Almost surely, 2^34297894400 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 34297894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59184069120).

34297894400 is an abundant number, since it is smaller than the sum of its proper divisors (84070243840).

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

34297894400 is a wasteful number, since it uses less digits than its factorization.

34297894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 50.

It can be divided in two parts, 34 and 297894400, that multiplied together give a square (10128409600 = 100640²).

The spelling of 34297894400 in words is "thirty-four billion, two hundred ninety-seven million, eight hundred ninety-four thousand, four hundred".