34542068400 has 540 divisors, whose sum is σ = 144622765872. Its totient is φ = 7477816320.

The previous prime is 34542068359. The next prime is 34542068423. The reversal of 34542068400 is 486024543.

34542068400 is a `hidden beast` number, since 3 + 45 + 4 + 206 + 8 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9095302 + ... + 9099098.

Almost surely, 2^34542068400 is an apocalyptic number.

34542068400 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 34542068400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72311382936).

34542068400 is an abundant number, since it is smaller than the sum of its proper divisors (110080697472).

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

34542068400 is a wasteful number, since it uses less digits than its factorization.

34542068400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 34542068400 in words is "thirty-four billion, five hundred forty-two million, sixty-eight thousand, four hundred".